2010•Journal of King Saud University - ScienceOpen access

Explicit solutions of nonlinear (2+1)-dimensional dispersive long wave equation

Mostafa Eslami, A. Neyrame, Morteza Ebrahimi

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Abstract

In this work, we construct the travelling wave solutions involving parameters of the (2 + 1)-dimensional dispersive long wave equation, by using a new approach, namely, the (G′/G)-expansion method, where G=G(ξ) satisfies a second order linear ordinary differential equation. When the parameters are taken special values, the solitary waves are derived from the travelling waves.

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What this paper is about

In this work, we construct the travelling wave solutions involving parameters of the (2 + 1)-dimensional dispersive long wave equation, by using a new approach, namely, the (G′/G)-expansion method, where G=G(ξ) satisfies a second order linear ordinary differential equation. When the parameters are taken special values, the solitary waves are derived from the travelling waves.

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Available abstract

In this work, we construct the travelling wave solutions involving parameters of the (2 + 1)-dimensional dispersive long wave equation, by using a new approach, namely, the (G′/G)-expansion method, where G=G(ξ) satisfies a second order linear ordinary differential equation. When the parameters are taken special values, the solitary waves are derived from the travelling waves.

Key concepts: Dispersive partial differential equation, Mathematical analysis, Mathematics, Traveling wave, Ordinary differential equation, Work (physics), Wave equation, Nonlinear system

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