期刊
WAVE MOTION
卷 60, 期 -, 页码 62-72出版社
ELSEVIER
DOI: 10.1016/j.wavemoti.2015.09.003
关键词
Riemann-Hilbert approach; Generalized Sasa-Satsuma equation; N-soliton solutions
资金
- National Natural Science Foundation of China [11331008, 11171312]
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.
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