Explicit Solutions Of A Generalized Hirota-Satsuma Coupled Korteweg-de Vries Equation

Posted on:2008-01-05

Degree:Master

Type:Thesis

Country:China

Candidate:H F Ren

Full Text:PDF

GTID:2120360215960196

Subject:Basic mathematics

Abstract/Summary:

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By introducing gauge transformation of the Lax pair of the generalized Hirota-Satsuma coupled Korteweg-de Vries equation with three potentials, we propose a Darboux transformation of it. Then a systematic algebraic algorithm which is used to solve the generalized Hirota-Satsuma coupled Korteweg-de Vries equation is given. As an application, explict soliton solution of it is given.

Keywords/Search Tags:

soliton, Darboux transformation, gauge transformation, generalized Hirota-Satsuma coupled Korteweg-de Vries equation, explict solution

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