Periodic Wave Solutions and Their Limits for the Generalized KP-BBM Equation

We use the bifurcation method of dynamical systems to study the periodic wave solutions and their limits for the generalized KP-BBM equation. A number of explicit periodic wave solutions are obtained. These solutions contain smooth periodic wave solutions and periodic blow-up solutions. Their limits...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Ming Song [verfasserIn] Zhengrong Liu [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2012

Übergeordnetes Werk:	In: Journal of Applied Mathematics - Hindawi Limited, 2006, (2012)
Übergeordnetes Werk:	year:2012

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc Journal toc

DOI / URN:	10.1155/2012/363879

Katalog-ID:	DOAJ017240948

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spelling	10.1155/2012/363879 doi (DE-627)DOAJ017240948 (DE-599)DOAJcfc97380c3eb455dbe7c40b5da797259 DE-627 ger DE-627 rakwb eng QA1-939 Ming Song verfasserin aut Periodic Wave Solutions and Their Limits for the Generalized KP-BBM Equation 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We use the bifurcation method of dynamical systems to study the periodic wave solutions and their limits for the generalized KP-BBM equation. A number of explicit periodic wave solutions are obtained. These solutions contain smooth periodic wave solutions and periodic blow-up solutions. Their limits contain periodic wave solutions, kink wave solutions, unbounded wave solutions, blow-up wave solutions, and solitary wave solutions. Mathematics Zhengrong Liu verfasserin aut In Journal of Applied Mathematics Hindawi Limited, 2006 (2012) (DE-627)638066859 (DE-600)2578385-3 16870042 nnns year:2012 https://doi.org/10.1155/2012/363879 kostenfrei https://doaj.org/article/cfc97380c3eb455dbe7c40b5da797259 kostenfrei http://dx.doi.org/10.1155/2012/363879 kostenfrei https://doaj.org/toc/1110-757X Journal toc kostenfrei https://doaj.org/toc/1687-0042 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_11 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_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_151 GBV_ILN_161 GBV_ILN_165 GBV_ILN_171 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2088 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 AR 2012
allfields_unstemmed	10.1155/2012/363879 doi (DE-627)DOAJ017240948 (DE-599)DOAJcfc97380c3eb455dbe7c40b5da797259 DE-627 ger DE-627 rakwb eng QA1-939 Ming Song verfasserin aut Periodic Wave Solutions and Their Limits for the Generalized KP-BBM Equation 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We use the bifurcation method of dynamical systems to study the periodic wave solutions and their limits for the generalized KP-BBM equation. A number of explicit periodic wave solutions are obtained. These solutions contain smooth periodic wave solutions and periodic blow-up solutions. Their limits contain periodic wave solutions, kink wave solutions, unbounded wave solutions, blow-up wave solutions, and solitary wave solutions. Mathematics Zhengrong Liu verfasserin aut In Journal of Applied Mathematics Hindawi Limited, 2006 (2012) (DE-627)638066859 (DE-600)2578385-3 16870042 nnns year:2012 https://doi.org/10.1155/2012/363879 kostenfrei https://doaj.org/article/cfc97380c3eb455dbe7c40b5da797259 kostenfrei http://dx.doi.org/10.1155/2012/363879 kostenfrei https://doaj.org/toc/1110-757X Journal toc kostenfrei https://doaj.org/toc/1687-0042 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_11 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_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_151 GBV_ILN_161 GBV_ILN_165 GBV_ILN_171 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2088 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 AR 2012
allfieldsGer	10.1155/2012/363879 doi (DE-627)DOAJ017240948 (DE-599)DOAJcfc97380c3eb455dbe7c40b5da797259 DE-627 ger DE-627 rakwb eng QA1-939 Ming Song verfasserin aut Periodic Wave Solutions and Their Limits for the Generalized KP-BBM Equation 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We use the bifurcation method of dynamical systems to study the periodic wave solutions and their limits for the generalized KP-BBM equation. A number of explicit periodic wave solutions are obtained. These solutions contain smooth periodic wave solutions and periodic blow-up solutions. Their limits contain periodic wave solutions, kink wave solutions, unbounded wave solutions, blow-up wave solutions, and solitary wave solutions. Mathematics Zhengrong Liu verfasserin aut In Journal of Applied Mathematics Hindawi Limited, 2006 (2012) (DE-627)638066859 (DE-600)2578385-3 16870042 nnns year:2012 https://doi.org/10.1155/2012/363879 kostenfrei https://doaj.org/article/cfc97380c3eb455dbe7c40b5da797259 kostenfrei http://dx.doi.org/10.1155/2012/363879 kostenfrei https://doaj.org/toc/1110-757X Journal toc kostenfrei https://doaj.org/toc/1687-0042 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_11 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_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_151 GBV_ILN_161 GBV_ILN_165 GBV_ILN_171 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2088 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 AR 2012
allfieldsSound	10.1155/2012/363879 doi (DE-627)DOAJ017240948 (DE-599)DOAJcfc97380c3eb455dbe7c40b5da797259 DE-627 ger DE-627 rakwb eng QA1-939 Ming Song verfasserin aut Periodic Wave Solutions and Their Limits for the Generalized KP-BBM Equation 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We use the bifurcation method of dynamical systems to study the periodic wave solutions and their limits for the generalized KP-BBM equation. A number of explicit periodic wave solutions are obtained. These solutions contain smooth periodic wave solutions and periodic blow-up solutions. Their limits contain periodic wave solutions, kink wave solutions, unbounded wave solutions, blow-up wave solutions, and solitary wave solutions. Mathematics Zhengrong Liu verfasserin aut In Journal of Applied Mathematics Hindawi Limited, 2006 (2012) (DE-627)638066859 (DE-600)2578385-3 16870042 nnns year:2012 https://doi.org/10.1155/2012/363879 kostenfrei https://doaj.org/article/cfc97380c3eb455dbe7c40b5da797259 kostenfrei http://dx.doi.org/10.1155/2012/363879 kostenfrei https://doaj.org/toc/1110-757X Journal toc kostenfrei https://doaj.org/toc/1687-0042 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_11 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_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_151 GBV_ILN_161 GBV_ILN_165 GBV_ILN_171 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2088 GBV_ILN_2108 GBV_ILN_2111 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 AR 2012
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callnumber-first	Q - Science
author	Ming Song
spellingShingle	Ming Song misc QA1-939 misc Mathematics Periodic Wave Solutions and Their Limits for the Generalized KP-BBM Equation
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topic_title	QA1-939 Periodic Wave Solutions and Their Limits for the Generalized KP-BBM Equation
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title	Periodic Wave Solutions and Their Limits for the Generalized KP-BBM Equation
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title_full	Periodic Wave Solutions and Their Limits for the Generalized KP-BBM Equation
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title_sort	periodic wave solutions and their limits for the generalized kp-bbm equation
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title_auth	Periodic Wave Solutions and Their Limits for the Generalized KP-BBM Equation
abstract	We use the bifurcation method of dynamical systems to study the periodic wave solutions and their limits for the generalized KP-BBM equation. A number of explicit periodic wave solutions are obtained. These solutions contain smooth periodic wave solutions and periodic blow-up solutions. Their limits contain periodic wave solutions, kink wave solutions, unbounded wave solutions, blow-up wave solutions, and solitary wave solutions.
abstractGer	We use the bifurcation method of dynamical systems to study the periodic wave solutions and their limits for the generalized KP-BBM equation. A number of explicit periodic wave solutions are obtained. These solutions contain smooth periodic wave solutions and periodic blow-up solutions. Their limits contain periodic wave solutions, kink wave solutions, unbounded wave solutions, blow-up wave solutions, and solitary wave solutions.
abstract_unstemmed	We use the bifurcation method of dynamical systems to study the periodic wave solutions and their limits for the generalized KP-BBM equation. A number of explicit periodic wave solutions are obtained. These solutions contain smooth periodic wave solutions and periodic blow-up solutions. Their limits contain periodic wave solutions, kink wave solutions, unbounded wave solutions, blow-up wave solutions, and solitary wave solutions.
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title_short	Periodic Wave Solutions and Their Limits for the Generalized KP-BBM Equation
url	https://doi.org/10.1155/2012/363879 https://doaj.org/article/cfc97380c3eb455dbe7c40b5da797259 http://dx.doi.org/10.1155/2012/363879 https://doaj.org/toc/1110-757X https://doaj.org/toc/1687-0042
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up_date	2024-07-04T00:51:03.735Z
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Periodic Wave Solutions and Their Limits for the Generalized KP-BBM Equation

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