Some new traveling wave solutions of the nonlinear reaction diffusion equation by using the improved (G′/G)-expansion method

This article was published in the Mathematical Problems in Engineering [© 2012 Hasibun Naher and Farah Aini Abdullah.] and the definite version is available at : http://dx.doi.org/10.1155/2012/871724 The Journal's website is at:https://www.hindawi.com/journals/mpe/2012/871724/

التفاصيل البيبلوغرافية
المؤلفون الرئيسيون:	Naher, Hasibun, Abdullah, Farah Aini
مؤلفون آخرون:	Department of Mathematics and Natural Sciences, BRAC University
التنسيق:	مقال
اللغة:	English
منشور في:	© 2012 Mathematical Problems in Engineering 2016
الموضوعات:	Constant coefficients Exact traveling wave solutions Expansion methods Free parameters Functional forms Linear ordinary differential equations Nonlinear reaction-diffusion equations Second orders Traveling wave solution Trigonometric functions
الوصول للمادة أونلاين:	http://hdl.handle.net/10361/6875 http://dx.doi.org/10.1155/2012/871724

id	10361-6875
record_format	dspace
spelling	10361-68752016-11-17T10:21:17Z Some new traveling wave solutions of the nonlinear reaction diffusion equation by using the improved (G′/G)-expansion method Naher, Hasibun Abdullah, Farah Aini Department of Mathematics and Natural Sciences, BRAC University Constant coefficients Exact traveling wave solutions Expansion methods Free parameters Functional forms Linear ordinary differential equations Nonlinear reaction-diffusion equations Second orders Traveling wave solution Trigonometric functions This article was published in the Mathematical Problems in Engineering [© 2012 Hasibun Naher and Farah Aini Abdullah.] and the definite version is available at : http://dx.doi.org/10.1155/2012/871724 The Journal's website is at:https://www.hindawi.com/journals/mpe/2012/871724/ We construct new exact traveling wave solutions involving free parameters of the nonlinear reaction diffusion equation by using the improved (G ′ /G)-expansion method. The second-order linear ordinary differential equation with constant coefficients is used in this method. The obtained solutions are presented by the hyperbolic and the trigonometric functions. The solutions become in special functional form when the parameters take particular values. It is important to reveal that our solutions are in good agreement with the existing results. Published 2016-11-17T10:18:54Z 2016-11-17T10:18:54Z 2012 Article Naher, H., & Abdullah, F. A. (2012). Some new traveling wave solutions of the nonlinear reaction diffusion equation by using the improved (G′/G)-expansion method. Mathematical Problems in Engineering, 2012 doi:10.1155/2012/871724 1024123X http://hdl.handle.net/10361/6875 http://dx.doi.org/10.1155/2012/871724 en https://www.hindawi.com/journals/mpe/2012/871724/ © 2012 Mathematical Problems in Engineering
institution	Brac University
collection	Institutional Repository
language	English
topic	Constant coefficients Exact traveling wave solutions Expansion methods Free parameters Functional forms Linear ordinary differential equations Nonlinear reaction-diffusion equations Second orders Traveling wave solution Trigonometric functions
spellingShingle	Constant coefficients Exact traveling wave solutions Expansion methods Free parameters Functional forms Linear ordinary differential equations Nonlinear reaction-diffusion equations Second orders Traveling wave solution Trigonometric functions Naher, Hasibun Abdullah, Farah Aini Some new traveling wave solutions of the nonlinear reaction diffusion equation by using the improved (G′/G)-expansion method
description	This article was published in the Mathematical Problems in Engineering [© 2012 Hasibun Naher and Farah Aini Abdullah.] and the definite version is available at : http://dx.doi.org/10.1155/2012/871724 The Journal's website is at:https://www.hindawi.com/journals/mpe/2012/871724/
author2	Department of Mathematics and Natural Sciences, BRAC University
author_facet	Department of Mathematics and Natural Sciences, BRAC University Naher, Hasibun Abdullah, Farah Aini
format	Article
author	Naher, Hasibun Abdullah, Farah Aini
author_sort	Naher, Hasibun
title	Some new traveling wave solutions of the nonlinear reaction diffusion equation by using the improved (G′/G)-expansion method
title_short	Some new traveling wave solutions of the nonlinear reaction diffusion equation by using the improved (G′/G)-expansion method
title_full	Some new traveling wave solutions of the nonlinear reaction diffusion equation by using the improved (G′/G)-expansion method
title_fullStr	Some new traveling wave solutions of the nonlinear reaction diffusion equation by using the improved (G′/G)-expansion method
title_full_unstemmed	Some new traveling wave solutions of the nonlinear reaction diffusion equation by using the improved (G′/G)-expansion method
title_sort	some new traveling wave solutions of the nonlinear reaction diffusion equation by using the improved (g′/g)-expansion method
publisher	© 2012 Mathematical Problems in Engineering
publishDate	2016
url	http://hdl.handle.net/10361/6875 http://dx.doi.org/10.1155/2012/871724
work_keys_str_mv	AT naherhasibun somenewtravelingwavesolutionsofthenonlinearreactiondiffusionequationbyusingtheimprovedggexpansionmethod AT abdullahfarahaini somenewtravelingwavesolutionsofthenonlinearreactiondiffusionequationbyusingtheimprovedggexpansionmethod
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Some new traveling wave solutions of the nonlinear reaction diffusion equation by using the improved (G′/G)-expansion method

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