The Fokas method to the Sasa-Satsuma equation on the half-line

2013/04/16 by Jian Xu, Xu Jian, Xu, Jian +2 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Algebraic structures and combinatorial models #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Waves and Solitons #nlin.SI

paper · pdf · doi:10.48550/arxiv.1304.4586

33 pages. arXiv admin note: substantial text overlap with arXiv:1304.4339; and with arXiv:1108.2875 by other authors

arxiv created 2013/04/16 · openalex publication_date 2013/04/16 · arxiv updated 2013/04/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a Riemann-Hilbert problem formalism for the initial-boundary value problem for the Sasa-Satsuma(SS) equation: iq_T+(1)/(2)q_XX+|q|²q+i\eps (q_XXX+6|q|²q_X+3q(|q|²)_X)=0 on the half-line. And we also analysis the global relation in this paper.

Citations

• The unified method for the three-wave equation on the half-line

Cited by

• Initial-boundary value problem for integrable nonlinear evolution equations with 3× 3 Lax pairs on the interval
• The unified transform method for the Sasa-Satsuma equation on the interval

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