SOLITON SOLUTION TO THE MODIFIED KORTEWEG-DE VRIES EQUATION USING SINE-GORDON EXPANSION METHOD
Keywords:
soliton, symbolic computing, sine-Gordon expansionAbstract
The soliton solution of sine-Gordon equation will be determined. These solutions are written in terms of hyperbolic functions which are expressed in two types of the solitons. It can be used for the soliton solutions for the others nonlinear equations for two possible types of solitons. For this idea, we will take the soliton solution of the sine-Gordon equation to obtain the soliton solution of the Korteweg-de Vries equation with two nonlinear terms. The solution will be written in terms of the series of hyperbolic functions. The coefficients of this series will be determined to with the suitable condition. Time evolution of the solution will be presented as well as the two solitons collision.
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