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2004•Journal of Luoyang Institute of TechnologyRequires access

Exact Solutions for Compound KdV Equation

Jin Chen

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Abstract

The compound KdV equation is a model of propagating of nonlinear wave and the application of its exact solutions are of importance in various fields sach as crystal lattice and hydrodynamics.By using the homogeneous balance principle (HBP) and the F-expansion method proposed recently, some new exact solutions for compound KdV equation,including double periodic wave solutions and solitary wave solutions are obtained.

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What this paper is about

The compound KdV equation is a model of propagating of nonlinear wave and the application of its exact solutions are of importance in various fields sach as crystal lattice and hydrodynamics.By using the homogeneous balance principle (HBP) and the F-expansion method proposed recently, some new exact solutions for compound KdV equation,including double periodic wave solutions and solitary wave solutions are obtained.

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Available abstract

The compound KdV equation is a model of propagating of nonlinear wave and the application of its exact solutions are of importance in various fields sach as crystal lattice and hydrodynamics.By using the homogeneous balance principle (HBP) and the F-expansion method proposed recently, some new exact solutions for compound KdV equation,including double periodic wave solutions and solitary wave solutions are obtained.

Key concepts: Korteweg–de Vries equation, Homogeneous, Periodic wave, Nonlinear system, Lattice (music), Exact solutions in general relativity, Mathematical analysis, Mathematics

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