The algebraic representation for high order solution of Sasa-Satsuma equation

Liming  Ling

doi:10.3934/dcdss.2016081

Article Contents

2016, Volume 9, Issue 6: 1975-2010. Doi: 10.3934/dcdss.2016081

This issue Previous Article Existence and multiplicity of positive solutions for a class of Kirchhoff type problems at resonance Next Article Global existence of weak solutions to the three-dimensional Prandtl equations with a special structure

The algebraic representation for high order solution of Sasa-Satsuma equation

Liming Ling^1,

1.
School of Mathematics, South China University of Technology, Guangzhou 510640

Received: June 30, 2015

Revised: August 31, 2016

Published: November 2016

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Abstract

In this paper, we reestablish the elementary Darboux transformation for Sasa-Satsuma equation with the aid of loop group method. Furthermore, the generalized Darboux transformation is given with the limit technique. As direct applications, we give the single solitonic solutions for the focusing and defocusing case. The general high order solution formulas with the determinant form are obtained through generalized DT and the formal series method.

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Mathematics Subject Classification: Primary: 37K10, 35Q55; Secondary: 35C08.

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