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

Kamruzzaman Khan | Zendy; M. Ali Akbar | Zendy; Henk Koppelaar | Zendy

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

Author(s) -

Kamruzzaman Khan,

M. Ali Akbar,

Henk Koppelaar

Publication year - 2015

Publication title -

royal society open science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.84

H-Index - 51

ISSN - 2054-5703

DOI - 10.1098/rsos.140406

Subject(s) - nonlinear system , partial differential equation , mathematics , first order partial differential equation , mathematical analysis , computer science , physics , quantum mechanics

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.

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