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2010•WSEAS Transactions on Computers archiveRequires access

Traveling wave solutions for the generalized burgers equation and the (2+1) dimensional dispersive equation by (G′/G)-expansion method

Qinghua Feng, Bin Zheng

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Abstract

In this paper, we test the validity and reliability of the (G′/G)-expansion method by applying it to get the exact travelling wave solutions of the generalized Burgers equation and the (2+1) dimensional dispersive equation. The traveling wave solutions are obtained in three forms. Being concise and less restrictive, the method can also be applied to many other nonlinear partial differential equations.

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What this paper is about

In this paper, we test the validity and reliability of the (G′/G)-expansion method by applying it to get the exact travelling wave solutions of the generalized Burgers equation and the (2+1) dimensional dispersive equation. The traveling wave solutions are obtained in three forms. Being concise and less restrictive, the method can also be applied to many other nonlinear partial differential equations.

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Available abstract

In this paper, we test the validity and reliability of the (G′/G)-expansion method by applying it to get the exact travelling wave solutions of the generalized Burgers equation and the (2+1) dimensional dispersive equation. The traveling wave solutions are obtained in three forms. Being concise and less restrictive, the method can also be applied to many other nonlinear partial differential equations.

Key concepts: Burgers' equation, Traveling wave, Partial differential equation, Dispersive partial differential equation, Mathematics, Mathematical analysis, Nonlinear system, First-order partial differential equation

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Traveling wave solutions for the generalized burgers equation and the (2+1) dimensional dispersive equation by (G′/G)-expansion method — Research Paper | ScholarLens