Coupled Kdv Equations Extension Structure

Posted on:2010-09-29

Degree:Master

Type:Thesis

Country:China

Candidate:Y J Jia

Full Text:PDF

GTID:2190360275465171

Subject:Basic mathematics

Abstract/Summary:

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We investigate some coupled KdV equations,such as Ito coupled KdV equation, ohta-Hirota coupled KdV equation and Hirota-satuma couple KdV equation,by means of prolongation structure theory.We discuss their prolongation Lie algebra.The Lax pairs of the corresponding systems are derived theoretically.

Keywords/Search Tags:

Lie algebra, prolongation structure, Lax pair, Linear spectral problems

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