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Nonlinear Partial Differential Equation (2015)

Khan, K., Akbar, M. A., Koppelaar, H.

Royal Society

In: Royal Society Open Science

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Publication Date: 2015-08-01

Description: 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.

Keywords: computational mathematics, applied mathematics, differential equations

Electronic ISSN: 2054-5703

Topics: Natural Sciences in General

Published by Royal Society

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