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2010•Journal of Zhejiang University(Science Edition)Requires access

Conformation of soliton surfaces of MKdV equation and SG equation

Nan Ding

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Abstract

The soliton solutions and the soliton surfaces of Modified Korteweg-de Vries equation(MKdV) and Sine-Gordon(SG) equation by the n-fold Darboux transformation are given out.Furthermore,the properities and changes of soliton surfaces and curves by the n-fold Darboux transformations are analyzed.

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What this paper is about

The soliton solutions and the soliton surfaces of Modified Korteweg-de Vries equation(MKdV) and Sine-Gordon(SG) equation by the n-fold Darboux transformation are given out.Furthermore,the properities and changes of soliton surfaces and curves by the n-fold Darboux transformations are analyzed.

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Available abstract

The soliton solutions and the soliton surfaces of Modified Korteweg-de Vries equation(MKdV) and Sine-Gordon(SG) equation by the n-fold Darboux transformation are given out.Furthermore,the properities and changes of soliton surfaces and curves by the n-fold Darboux transformations are analyzed.

Key concepts: sine-Gordon equation, Soliton, Korteweg–de Vries equation, Mathematics, Transformation (genetics), Mathematical physics, Mathematical analysis, Physics

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