The extended generalized Riccati equation mapping method for the (1+1)-dimensional modified KdV equation

The extended generalized Riccati equation mapping method for the (1+1)-dimensional modified KdV equation

This article was published in the World Applied Sciences Journal [©2013 IDOSI Publications] and the definite version is available at: 10.5829/idosi.wasj.2013.25.04.2980

Dettagli Bibliografici
Autori principali: Naher, Hasibun, Abdullah, Farah Aini, Akbar, M. Ali, Yildirim, Ahmet
Altri autori: Department of Mathematics and Natural Sciences, BRAC University
Natura: Articolo
Lingua:English
Pubblicazione: © 2013 IDOSI Publications 2016
Soggetti:
The (G'-/G)-expansion method
The generalized riccati equation mapping
The modified KdV equation
Traveling wave solutions
Accesso online:http://hdl.handle.net/10361/6863
id 10361-6863
record_format dspace
spelling 10361-68632016-11-16T07:38:53Z The extended generalized Riccati equation mapping method for the (1+1)-dimensional modified KdV equation Naher, Hasibun Abdullah, Farah Aini Akbar, M. Ali Yildirim, Ahmet Department of Mathematics and Natural Sciences, BRAC University The (G'-/G)-expansion method The generalized riccati equation mapping The modified KdV equation Traveling wave solutions This article was published in the World Applied Sciences Journal [©2013 IDOSI Publications] and the definite version is available at: 10.5829/idosi.wasj.2013.25.04.2980 In this article, the generalized Riccati equation mapping is extended by the (G-/G)-expansion method. 2 In this method, the auxiliary equation G'- = r + pG + qG2 is used and called the generalized Riccati equation, where p,q and r are arbitrary constants. We construct twenty five exact traveling wave solutions of the (1+1)-dimensional modified KdV equation involving parameter by applying this method. The solutions are presented in terms of the hyperbolic, the trigonometric and the rational functional form including solitons and periodic solutions. Moreover, it is worth mentioning that one of our obtained solutions is in good agreement with the existing results which in turn validates our other solutions. In addition, some of newly obtained solutions are described in the figures. Published 2016-11-16T07:37:23Z 2016-11-16T07:37:23Z 2013 Article Naher, H., Abdullah, F. A., Akbar, M. A., & Yildirim, A. (2013). The extended generalized riccati equation mapping method for the (1+1)-dimensional modified KdV equation. World Applied Sciences Journal, 25(4), 543-553. doi:10.5829/idosi.wasj.2013.25.04.2980 18184952 http://hdl.handle.net/10361/6863 10.5829/idosi.wasj.2013.25.04.2980 en © 2013 IDOSI Publications
institution Brac University
collection Institutional Repository
language English
topic The (G'-/G)-expansion method
The generalized riccati equation mapping
The modified KdV equation
Traveling wave solutions
spellingShingle The (G'-/G)-expansion method
The generalized riccati equation mapping
The modified KdV equation
Traveling wave solutions
Naher, Hasibun
Abdullah, Farah Aini
Akbar, M. Ali
Yildirim, Ahmet
The extended generalized Riccati equation mapping method for the (1+1)-dimensional modified KdV equation
description This article was published in the World Applied Sciences Journal [©2013 IDOSI Publications] and the definite version is available at: 10.5829/idosi.wasj.2013.25.04.2980
author2 Department of Mathematics and Natural Sciences, BRAC University
author_facet Department of Mathematics and Natural Sciences, BRAC University
Naher, Hasibun
Abdullah, Farah Aini
Akbar, M. Ali
Yildirim, Ahmet
format Article
author Naher, Hasibun
Abdullah, Farah Aini
Akbar, M. Ali
Yildirim, Ahmet
author_sort Naher, Hasibun
title The extended generalized Riccati equation mapping method for the (1+1)-dimensional modified KdV equation
title_short The extended generalized Riccati equation mapping method for the (1+1)-dimensional modified KdV equation
title_full The extended generalized Riccati equation mapping method for the (1+1)-dimensional modified KdV equation
title_fullStr The extended generalized Riccati equation mapping method for the (1+1)-dimensional modified KdV equation
title_full_unstemmed The extended generalized Riccati equation mapping method for the (1+1)-dimensional modified KdV equation
title_sort extended generalized riccati equation mapping method for the (1+1)-dimensional modified kdv equation
publisher © 2013 IDOSI Publications
publishDate 2016
url http://hdl.handle.net/10361/6863
work_keys_str_mv AT naherhasibun theextendedgeneralizedriccatiequationmappingmethodforthe11dimensionalmodifiedkdvequation
AT abdullahfarahaini theextendedgeneralizedriccatiequationmappingmethodforthe11dimensionalmodifiedkdvequation
AT akbarmali theextendedgeneralizedriccatiequationmappingmethodforthe11dimensionalmodifiedkdvequation
AT yildirimahmet theextendedgeneralizedriccatiequationmappingmethodforthe11dimensionalmodifiedkdvequation
AT naherhasibun extendedgeneralizedriccatiequationmappingmethodforthe11dimensionalmodifiedkdvequation
AT abdullahfarahaini extendedgeneralizedriccatiequationmappingmethodforthe11dimensionalmodifiedkdvequation
AT akbarmali extendedgeneralizedriccatiequationmappingmethodforthe11dimensionalmodifiedkdvequation
AT yildirimahmet extendedgeneralizedriccatiequationmappingmethodforthe11dimensionalmodifiedkdvequation
_version_ 1814309683686539264

Documenti analoghi