Riemann-Hilbert approach and N-soliton solutions for a generalized Sasa-Satsuma equation

被引：148

作者：

Geng, Xianguo ^{[1
]}

Wu, Jianping ^{[1
]}

机构：

[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China

来源：

WAVE MOTION | 2016年 / 60卷

基金：

中国国家自然科学基金;

关键词：

Riemann-Hilbert approach; Generalized Sasa-Satsuma equation; N-soliton solutions;

D O I：

10.1016/j.wavemoti.2015.09.003

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

A generalized Sasa-Satsuma equation on the line is studied via the Riemann-Hilbert approach. Firstly we derive a Lax pair associated with a 3 x 3 matrix spectral problem for the generalized Sasa-Satsuma equation. Then we give the spectral analysis of the Lax pair, from which a Riemann-Hilbert problem is formulated. Moreover, by solving the particular Riemann-Hilbert problems with vanishing scattering coefficients, N-soliton solutions are obtained for the generalized Sasa-Satsuma equation. In addition, the N-soliton solutions of the generalized Sasa-Satsuma equation are reduced to those of the Sasa-Satsuma equation and a new complex mKdV equation, respectively. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：62 / 72

页数：11

共 26 条

[1]

Ablowitz M. J., 1981, SOLITONS INVERSE SCA, DOI DOI 10.1137/1.9781611970883

[2]

Ablowitz M.J., 2003, Complex Variables

[3]

Ablowitz M.J., 1991, Nonlinear Evolution Equations and Inverse Scattering

[4] Interaction properties of complex modified Korteweg-de Vries (mKdV) solitons [J].

Anco, Stephen C. ;

Ngatat, Nestor Tchegoum ;

Willoughby, Mark .

PHYSICA D-NONLINEAR PHENOMENA, 2011, 240 (17) :1378-1394

[5] Inverse scattering transform for 3-level coupled Maxwell-Bloch equations with inhomogeneous broadening [J].

Chakravarty, S. ;

Prinari, B. ;

Ablowitz, M. J. .

PHYSICA D-NONLINEAR PHENOMENA, 2014, 278 :58-78

[6]

Faddeev L. D., 1987, Hamiltonian methods in the theory of solitons, V23

[7] Algebro-geometric solutions of the coupled modified Korteweg-de Vries hierarchy [J].

Geng, Xianguo ;

Zhai, Yunyun ;

Dai, H. H. .

ADVANCES IN MATHEMATICS, 2014, 263 :123-153

[8] Sasa-Satsuma higher-order nonlinear Schrodinger equation and its bilinearization and multisoliton solutions [J].

Gilson, C ;

Hietarinta, J ;

Nimmo, J ;

Ohta, Y .

PHYSICAL REVIEW E, 2003, 68 (01) :10-166141

[9] Riemann-Hilbert approach and N-soliton formula for coupled derivative Schrodinger equation [J].

Guo, Boling ;

Ling, Liming .

JOURNAL OF MATHEMATICAL PHYSICS, 2012, 53 (07)

[10]

Hasegawa A., 1995, Solitons in Optical Communications

← 1 2 3 →