Study of coupled nonlinear partial differential equations for finding exact analytical solutions-Reference-Cited by-同舟云学术

Study of coupled nonlinear partial differential equations for finding exact analytical solutions

Published:2015-07 Issue:7 Volume:2 Page:140406
ISSN:2054-5703
Container-title:Royal Society Open Science
language:en
Short-container-title:R. Soc. open sci.

Author:

Khan Kamruzzaman¹^ORCID,Akbar M. Ali²,Koppelaar H.³

Affiliation:

1. Department of Mathematics, Pabna University of Science and Technology, Pabna 6600, Bangladesh

2. Department of Applied Mathematics, University of Rajshahi, Rajshahi 6205, Bangladesh

3. Faculty of Electrical Engineering, Mathematics and Computer Science, University of Delft, Delft, The Netherlands

Abstract

Exact solutions of nonlinear partial differential equations (NPDEs) are obtained via the enhanced ( G ′/ G )-expansion method. The method is subsequently applied to find exact solutions of the Drinfel'd–Sokolov–Wilson (DSW) equation and the (2+1)-dimensional Painlevé integrable Burgers (PIB) equation. The efficiency of this method for finding these exact solutions is demonstrated. The method is effective and applicable for many other NPDEs in mathematical physics.

Publisher

The Royal Society

Subject

Multidisciplinary

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.140406

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