2013•Unpublished venueRequires access

New Exact Travelling Wave Solutions of Gardner Equation

Mohammad Najafi, Maliheh Najafi, Somayeh Arbabi

Abstract

In this work, we established (G'/G)-expansion method for Gardner equation. This method was used to construct travelling wave solutions of Gardner equation. The travelling wave solutions are expressed by the hyperbolic functions, the trigonometric functions and the rational functions. The (G'/G)-expansion method presents a wider applicability for handling nonlinear wave equations.

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Key concepts: Traveling wave, Mathematics, Trigonometric functions, Mathematical analysis, Trigonometry, Rational function, Hyperbolic function, Wave equation