On abundant new solutions of two fractional complex models

Abstract We use an analytical scheme to construct distinct novel solutions of two well-known fractional complex models (the fractional Korteweg–de Vries equation (KdV) equation and the fractional Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZKBBM) equation). A new fractional definition is used to covert...
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Autor*in:	Khater, Mostafa M. A. [verfasserIn] Baleanu, Dumitru [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2020

Schlagwörter:	Fractional Korteweg–de Vries (KdV) equation Fractional Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZKBBM) equation fractional operator Modified Khater (mK) method

Übergeordnetes Werk:	Enthalten in: Advances in difference equations - [S.l.] : Springer International, 2004, 2020(2020), 1 vom: 05. Juni
Übergeordnetes Werk:	volume:2020 ; year:2020 ; number:1 ; day:05 ; month:06

Links:	Volltext

DOI / URN:	10.1186/s13662-020-02705-x

Katalog-ID:	SPR039945529

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245	1	0	\|a On abundant new solutions of two fractional complex models
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520			\|a Abstract We use an analytical scheme to construct distinct novel solutions of two well-known fractional complex models (the fractional Korteweg–de Vries equation (KdV) equation and the fractional Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZKBBM) equation). A new fractional definition is used to covert the fractional formula of these equations into integer-order ordinary differential equations. We obtain solitons, rational functions, the trigonometric functions, the hyperbolic functions, and many other explicit wave solutions. We illustrate physical explanations of these solutions by different types of sketches.
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650		4	\|a Fractional Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZKBBM) equation \|7 (dpeaa)DE-He213
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allfields	10.1186/s13662-020-02705-x doi (DE-627)SPR039945529 (SPR)s13662-020-02705-x-e DE-627 ger DE-627 rakwb eng 510 610 ASE 31.49 bkl Khater, Mostafa M. A. verfasserin aut On abundant new solutions of two fractional complex models 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We use an analytical scheme to construct distinct novel solutions of two well-known fractional complex models (the fractional Korteweg–de Vries equation (KdV) equation and the fractional Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZKBBM) equation). A new fractional definition is used to covert the fractional formula of these equations into integer-order ordinary differential equations. We obtain solitons, rational functions, the trigonometric functions, the hyperbolic functions, and many other explicit wave solutions. We illustrate physical explanations of these solutions by different types of sketches. Fractional Korteweg–de Vries (KdV) equation (dpeaa)DE-He213 Fractional Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZKBBM) equation (dpeaa)DE-He213 fractional operator (dpeaa)DE-He213 Modified Khater (mK) method (dpeaa)DE-He213 Baleanu, Dumitru verfasserin aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2020(2020), 1 vom: 05. Juni (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2020 year:2020 number:1 day:05 month:06 https://dx.doi.org/10.1186/s13662-020-02705-x kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2020 2020 1 05 06
spelling	10.1186/s13662-020-02705-x doi (DE-627)SPR039945529 (SPR)s13662-020-02705-x-e DE-627 ger DE-627 rakwb eng 510 610 ASE 31.49 bkl Khater, Mostafa M. A. verfasserin aut On abundant new solutions of two fractional complex models 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We use an analytical scheme to construct distinct novel solutions of two well-known fractional complex models (the fractional Korteweg–de Vries equation (KdV) equation and the fractional Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZKBBM) equation). A new fractional definition is used to covert the fractional formula of these equations into integer-order ordinary differential equations. We obtain solitons, rational functions, the trigonometric functions, the hyperbolic functions, and many other explicit wave solutions. We illustrate physical explanations of these solutions by different types of sketches. Fractional Korteweg–de Vries (KdV) equation (dpeaa)DE-He213 Fractional Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZKBBM) equation (dpeaa)DE-He213 fractional operator (dpeaa)DE-He213 Modified Khater (mK) method (dpeaa)DE-He213 Baleanu, Dumitru verfasserin aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2020(2020), 1 vom: 05. Juni (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2020 year:2020 number:1 day:05 month:06 https://dx.doi.org/10.1186/s13662-020-02705-x kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2020 2020 1 05 06
allfields_unstemmed	10.1186/s13662-020-02705-x doi (DE-627)SPR039945529 (SPR)s13662-020-02705-x-e DE-627 ger DE-627 rakwb eng 510 610 ASE 31.49 bkl Khater, Mostafa M. A. verfasserin aut On abundant new solutions of two fractional complex models 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We use an analytical scheme to construct distinct novel solutions of two well-known fractional complex models (the fractional Korteweg–de Vries equation (KdV) equation and the fractional Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZKBBM) equation). A new fractional definition is used to covert the fractional formula of these equations into integer-order ordinary differential equations. We obtain solitons, rational functions, the trigonometric functions, the hyperbolic functions, and many other explicit wave solutions. We illustrate physical explanations of these solutions by different types of sketches. Fractional Korteweg–de Vries (KdV) equation (dpeaa)DE-He213 Fractional Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZKBBM) equation (dpeaa)DE-He213 fractional operator (dpeaa)DE-He213 Modified Khater (mK) method (dpeaa)DE-He213 Baleanu, Dumitru verfasserin aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2020(2020), 1 vom: 05. Juni (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2020 year:2020 number:1 day:05 month:06 https://dx.doi.org/10.1186/s13662-020-02705-x kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2020 2020 1 05 06
allfieldsGer	10.1186/s13662-020-02705-x doi (DE-627)SPR039945529 (SPR)s13662-020-02705-x-e DE-627 ger DE-627 rakwb eng 510 610 ASE 31.49 bkl Khater, Mostafa M. A. verfasserin aut On abundant new solutions of two fractional complex models 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We use an analytical scheme to construct distinct novel solutions of two well-known fractional complex models (the fractional Korteweg–de Vries equation (KdV) equation and the fractional Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZKBBM) equation). A new fractional definition is used to covert the fractional formula of these equations into integer-order ordinary differential equations. We obtain solitons, rational functions, the trigonometric functions, the hyperbolic functions, and many other explicit wave solutions. We illustrate physical explanations of these solutions by different types of sketches. Fractional Korteweg–de Vries (KdV) equation (dpeaa)DE-He213 Fractional Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZKBBM) equation (dpeaa)DE-He213 fractional operator (dpeaa)DE-He213 Modified Khater (mK) method (dpeaa)DE-He213 Baleanu, Dumitru verfasserin aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2020(2020), 1 vom: 05. Juni (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2020 year:2020 number:1 day:05 month:06 https://dx.doi.org/10.1186/s13662-020-02705-x kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2020 2020 1 05 06
allfieldsSound	10.1186/s13662-020-02705-x doi (DE-627)SPR039945529 (SPR)s13662-020-02705-x-e DE-627 ger DE-627 rakwb eng 510 610 ASE 31.49 bkl Khater, Mostafa M. A. verfasserin aut On abundant new solutions of two fractional complex models 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We use an analytical scheme to construct distinct novel solutions of two well-known fractional complex models (the fractional Korteweg–de Vries equation (KdV) equation and the fractional Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZKBBM) equation). A new fractional definition is used to covert the fractional formula of these equations into integer-order ordinary differential equations. We obtain solitons, rational functions, the trigonometric functions, the hyperbolic functions, and many other explicit wave solutions. We illustrate physical explanations of these solutions by different types of sketches. Fractional Korteweg–de Vries (KdV) equation (dpeaa)DE-He213 Fractional Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZKBBM) equation (dpeaa)DE-He213 fractional operator (dpeaa)DE-He213 Modified Khater (mK) method (dpeaa)DE-He213 Baleanu, Dumitru verfasserin aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2020(2020), 1 vom: 05. Juni (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2020 year:2020 number:1 day:05 month:06 https://dx.doi.org/10.1186/s13662-020-02705-x kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2020 2020 1 05 06
language	English
source	Enthalten in Advances in difference equations 2020(2020), 1 vom: 05. Juni volume:2020 year:2020 number:1 day:05 month:06
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topic_facet	Fractional Korteweg–de Vries (KdV) equation Fractional Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZKBBM) equation fractional operator Modified Khater (mK) method
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A.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">On abundant new solutions of two fractional complex models</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2020</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract We use an analytical scheme to construct distinct novel solutions of two well-known fractional complex models (the fractional Korteweg–de Vries equation (KdV) equation and the fractional Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZKBBM) equation). 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author	Khater, Mostafa M. A.
spellingShingle	Khater, Mostafa M. A. ddc 510 bkl 31.49 misc Fractional Korteweg–de Vries (KdV) equation misc Fractional Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZKBBM) equation misc fractional operator misc Modified Khater (mK) method On abundant new solutions of two fractional complex models
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topic_title	510 610 ASE 31.49 bkl On abundant new solutions of two fractional complex models Fractional Korteweg–de Vries (KdV) equation (dpeaa)DE-He213 Fractional Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZKBBM) equation (dpeaa)DE-He213 fractional operator (dpeaa)DE-He213 Modified Khater (mK) method (dpeaa)DE-He213
topic	ddc 510 bkl 31.49 misc Fractional Korteweg–de Vries (KdV) equation misc Fractional Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZKBBM) equation misc fractional operator misc Modified Khater (mK) method
topic_unstemmed	ddc 510 bkl 31.49 misc Fractional Korteweg–de Vries (KdV) equation misc Fractional Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZKBBM) equation misc fractional operator misc Modified Khater (mK) method
topic_browse	ddc 510 bkl 31.49 misc Fractional Korteweg–de Vries (KdV) equation misc Fractional Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZKBBM) equation misc fractional operator misc Modified Khater (mK) method
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title	On abundant new solutions of two fractional complex models
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title_full	On abundant new solutions of two fractional complex models
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title_sort	on abundant new solutions of two fractional complex models
title_auth	On abundant new solutions of two fractional complex models
abstract	Abstract We use an analytical scheme to construct distinct novel solutions of two well-known fractional complex models (the fractional Korteweg–de Vries equation (KdV) equation and the fractional Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZKBBM) equation). A new fractional definition is used to covert the fractional formula of these equations into integer-order ordinary differential equations. We obtain solitons, rational functions, the trigonometric functions, the hyperbolic functions, and many other explicit wave solutions. We illustrate physical explanations of these solutions by different types of sketches.
abstractGer	Abstract We use an analytical scheme to construct distinct novel solutions of two well-known fractional complex models (the fractional Korteweg–de Vries equation (KdV) equation and the fractional Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZKBBM) equation). A new fractional definition is used to covert the fractional formula of these equations into integer-order ordinary differential equations. We obtain solitons, rational functions, the trigonometric functions, the hyperbolic functions, and many other explicit wave solutions. We illustrate physical explanations of these solutions by different types of sketches.
abstract_unstemmed	Abstract We use an analytical scheme to construct distinct novel solutions of two well-known fractional complex models (the fractional Korteweg–de Vries equation (KdV) equation and the fractional Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZKBBM) equation). A new fractional definition is used to covert the fractional formula of these equations into integer-order ordinary differential equations. We obtain solitons, rational functions, the trigonometric functions, the hyperbolic functions, and many other explicit wave solutions. We illustrate physical explanations of these solutions by different types of sketches.
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title_short	On abundant new solutions of two fractional complex models
url	https://dx.doi.org/10.1186/s13662-020-02705-x
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On abundant new solutions of two fractional complex models

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