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2010•WSEAS Transactions on Mathematics archiveRequires access

Exact solutions for two non-linear equations

Bin Zheng

Open publisher page 4 citations

Abstract

In this paper, we test the validity and reliability of the (G′/G)-expansion method by applying it to get the exact traveling wave solutions of the (2+1) dimensional Boussinesq and Kadomtsev-Petviashvili equation and the nonlinear heat conduction 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.

About this research paper

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 traveling wave solutions of the (2+1) dimensional Boussinesq and Kadomtsev-Petviashvili equation and the nonlinear heat conduction 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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OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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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 traveling wave solutions of the (2+1) dimensional Boussinesq and Kadomtsev-Petviashvili equation and the nonlinear heat conduction 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: Mathematics, Traveling wave, Partial differential equation, Nonlinear system, Mathematical analysis, Heat equation, Thermal conduction, First-order partial differential equation

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