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2013•JOURNAL OF ADVANCES IN MATHEMATICSOpen access

New Travelling Wave solutions of the Korteweg De Vries Equation by - (G'/G') Expansion method.

Samuel O. Sedara, Ajibola Saheed Oluwatoyin

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Abstract

Exact hyperbolic, trigonometric and rational function travelling wave solutions to the Korteweg De Vries (KDV) equation using the (G'/G) expansion method are presented in this paper. More travelling wave solutions to the KDV equation were obtained with Liu's theorem. The solutions obtained were verified by putting them back into the equation with the aid of Mathematica. This shows that the (G'/G) expansion method is a powerful and effective tool for obtaining exact solutions to nonlinear partial differential equations in physics, mathematics and other applications.

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Exact hyperbolic, trigonometric and rational function travelling wave solutions to the Korteweg De Vries (KDV) equation using the (G'/G) expansion method are presented in this paper. More travelling wave solutions to the KDV equation were obtained with Liu's theorem. The solutions obtained were verified by putting them back into the equation with the aid of Mathematica. This shows that the (G'/G) expansion method is a powerful and effective tool for obtaining exact solutions to nonlinear partial differential equations in physics, mathematics and other applications.

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Available abstract

Exact hyperbolic, trigonometric and rational function travelling wave solutions to the Korteweg De Vries (KDV) equation using the (G'/G) expansion method are presented in this paper. More travelling wave solutions to the KDV equation were obtained with Liu's theorem. The solutions obtained were verified by putting them back into the equation with the aid of Mathematica. This shows that the (G'/G) expansion method is a powerful and effective tool for obtaining exact solutions to nonlinear partial differential equations in physics, mathematics and other applications.

Key concepts: Korteweg–de Vries equation, Mathematics, Traveling wave, Trigonometric functions, Hyperbolic function, Rational function, Partial differential equation, Mathematical analysis

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New Travelling Wave solutions of the Korteweg De Vries Equation by - (G'/G') Expansion method. — Research Paper | ScholarLens