New Hyperbolic Function Solutions for Some Nonlinear Partial Differential Equation Arising in Mathematical Physics

In this study, we investigate some new analytical solutions to the (1 + 1)-dimensional nonlinear Dispersive Modified Benjamin–Bona–Mahony equation and the (2 + 1)-dimensional cubic Klein–Gordon equation by using the generalized Kudryashov method. After we submitted the general properties of the gen...
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Autor*in:	Haci Mehmet Baskonus [verfasserIn] Hasan Bulut [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2015

Schlagwörter:	the generalized Kudryashov method (1 + 1)-dimensional nonlinear Dispersive Modified Benjamin–Bona–Mahony equation (2 + 1)-dimensional cubic Klein–Gordon equation soliton solutions rational function solutions hyperbolic function solutions trigonometric function solutions exponential function solution

Übergeordnetes Werk:	In: Entropy - MDPI AG, 2003, 17(2015), 6, Seite 4255-4270
Übergeordnetes Werk:	volume:17 ; year:2015 ; number:6 ; pages:4255-4270

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3390/e17064255

Katalog-ID:	DOAJ079186947

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allfieldsSound	10.3390/e17064255 doi (DE-627)DOAJ079186947 (DE-599)DOAJc8268eeba93a4fd680b80917d02ce748 DE-627 ger DE-627 rakwb eng QB460-466 QC1-999 Haci Mehmet Baskonus verfasserin aut New Hyperbolic Function Solutions for Some Nonlinear Partial Differential Equation Arising in Mathematical Physics 2015 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this study, we investigate some new analytical solutions to the (1 + 1)-dimensional nonlinear Dispersive Modified Benjamin–Bona–Mahony equation and the (2 + 1)-dimensional cubic Klein–Gordon equation by using the generalized Kudryashov method. After we submitted the general properties of the generalized Kudryashov method in Section 2, we applied this method to these problems to obtain some new analytical solutions, such as rational function solutions, exponential function solutions and hyperbolic function solutions in Section 3. Afterwards, we draw two- and three-dimensional surfaces of analytical solutions by using Wolfram Mathematica 9. the generalized Kudryashov method (1 + 1)-dimensional nonlinear Dispersive Modified Benjamin–Bona–Mahony equation (2 + 1)-dimensional cubic Klein–Gordon equation soliton solutions rational function solutions hyperbolic function solutions trigonometric function solutions exponential function solution Science Q Astrophysics Physics Hasan Bulut verfasserin aut In Entropy MDPI AG, 2003 17(2015), 6, Seite 4255-4270 (DE-627)316340359 (DE-600)2014734-X 10994300 nnns volume:17 year:2015 number:6 pages:4255-4270 https://doi.org/10.3390/e17064255 kostenfrei https://doaj.org/article/c8268eeba93a4fd680b80917d02ce748 kostenfrei http://www.mdpi.com/1099-4300/17/6/4255 kostenfrei https://doaj.org/toc/1099-4300 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 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_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_2055 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 17 2015 6 4255-4270
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source	In Entropy 17(2015), 6, Seite 4255-4270 volume:17 year:2015 number:6 pages:4255-4270
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topic_facet	the generalized Kudryashov method (1 + 1)-dimensional nonlinear Dispersive Modified Benjamin–Bona–Mahony equation (2 + 1)-dimensional cubic Klein–Gordon equation soliton solutions rational function solutions hyperbolic function solutions trigonometric function solutions exponential function solution Science Q Astrophysics Physics
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callnumber-first	Q - Science
author	Haci Mehmet Baskonus
spellingShingle	Haci Mehmet Baskonus misc QB460-466 misc QC1-999 misc the generalized Kudryashov method misc (1 + 1)-dimensional nonlinear Dispersive Modified Benjamin–Bona–Mahony equation misc (2 + 1)-dimensional cubic Klein–Gordon equation misc soliton solutions misc rational function solutions misc hyperbolic function solutions misc trigonometric function solutions misc exponential function solution misc Science misc Q misc Astrophysics misc Physics New Hyperbolic Function Solutions for Some Nonlinear Partial Differential Equation Arising in Mathematical Physics
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topic_title	QB460-466 QC1-999 New Hyperbolic Function Solutions for Some Nonlinear Partial Differential Equation Arising in Mathematical Physics the generalized Kudryashov method (1 + 1)-dimensional nonlinear Dispersive Modified Benjamin–Bona–Mahony equation (2 + 1)-dimensional cubic Klein–Gordon equation soliton solutions rational function solutions hyperbolic function solutions trigonometric function solutions exponential function solution
topic	misc QB460-466 misc QC1-999 misc the generalized Kudryashov method misc (1 + 1)-dimensional nonlinear Dispersive Modified Benjamin–Bona–Mahony equation misc (2 + 1)-dimensional cubic Klein–Gordon equation misc soliton solutions misc rational function solutions misc hyperbolic function solutions misc trigonometric function solutions misc exponential function solution misc Science misc Q misc Astrophysics misc Physics
topic_unstemmed	misc QB460-466 misc QC1-999 misc the generalized Kudryashov method misc (1 + 1)-dimensional nonlinear Dispersive Modified Benjamin–Bona–Mahony equation misc (2 + 1)-dimensional cubic Klein–Gordon equation misc soliton solutions misc rational function solutions misc hyperbolic function solutions misc trigonometric function solutions misc exponential function solution misc Science misc Q misc Astrophysics misc Physics
topic_browse	misc QB460-466 misc QC1-999 misc the generalized Kudryashov method misc (1 + 1)-dimensional nonlinear Dispersive Modified Benjamin–Bona–Mahony equation misc (2 + 1)-dimensional cubic Klein–Gordon equation misc soliton solutions misc rational function solutions misc hyperbolic function solutions misc trigonometric function solutions misc exponential function solution misc Science misc Q misc Astrophysics misc Physics
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title	New Hyperbolic Function Solutions for Some Nonlinear Partial Differential Equation Arising in Mathematical Physics
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title_full	New Hyperbolic Function Solutions for Some Nonlinear Partial Differential Equation Arising in Mathematical Physics
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title_sort	new hyperbolic function solutions for some nonlinear partial differential equation arising in mathematical physics
callnumber	QB460-466
title_auth	New Hyperbolic Function Solutions for Some Nonlinear Partial Differential Equation Arising in Mathematical Physics
abstract	In this study, we investigate some new analytical solutions to the (1 + 1)-dimensional nonlinear Dispersive Modified Benjamin–Bona–Mahony equation and the (2 + 1)-dimensional cubic Klein–Gordon equation by using the generalized Kudryashov method. After we submitted the general properties of the generalized Kudryashov method in Section 2, we applied this method to these problems to obtain some new analytical solutions, such as rational function solutions, exponential function solutions and hyperbolic function solutions in Section 3. Afterwards, we draw two- and three-dimensional surfaces of analytical solutions by using Wolfram Mathematica 9.
abstractGer	In this study, we investigate some new analytical solutions to the (1 + 1)-dimensional nonlinear Dispersive Modified Benjamin–Bona–Mahony equation and the (2 + 1)-dimensional cubic Klein–Gordon equation by using the generalized Kudryashov method. After we submitted the general properties of the generalized Kudryashov method in Section 2, we applied this method to these problems to obtain some new analytical solutions, such as rational function solutions, exponential function solutions and hyperbolic function solutions in Section 3. Afterwards, we draw two- and three-dimensional surfaces of analytical solutions by using Wolfram Mathematica 9.
abstract_unstemmed	In this study, we investigate some new analytical solutions to the (1 + 1)-dimensional nonlinear Dispersive Modified Benjamin–Bona–Mahony equation and the (2 + 1)-dimensional cubic Klein–Gordon equation by using the generalized Kudryashov method. After we submitted the general properties of the generalized Kudryashov method in Section 2, we applied this method to these problems to obtain some new analytical solutions, such as rational function solutions, exponential function solutions and hyperbolic function solutions in Section 3. Afterwards, we draw two- and three-dimensional surfaces of analytical solutions by using Wolfram Mathematica 9.
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title_short	New Hyperbolic Function Solutions for Some Nonlinear Partial Differential Equation Arising in Mathematical Physics
url	https://doi.org/10.3390/e17064255 https://doaj.org/article/c8268eeba93a4fd680b80917d02ce748 http://www.mdpi.com/1099-4300/17/6/4255 https://doaj.org/toc/1099-4300
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New Hyperbolic Function Solutions for Some Nonlinear Partial Differential Equation Arising in Mathematical Physics

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