English

Long-time asymptotics for the Sasa-Satsuma equation via nonlinear steepest descent method

Analysis of PDEs 2018-07-25 v3

Abstract

We formulate a 3×33\times3 Riemann-Hilbert problem to solve the Cauchy problem for the Sasa-Satsuma equation on the line, which allows us to give a representation for the solution of Sasa-Satsuma equation. We then apply the method of nonlinear steepest descent to compute the long-time asymptotics of the Sasa-Satsuma equation.

Keywords

Cite

@article{arxiv.1801.06420,
  title  = {Long-time asymptotics for the Sasa-Satsuma equation via nonlinear steepest descent method},
  author = {Boling Guo and Nan Liu},
  journal= {arXiv preprint arXiv:1801.06420},
  year   = {2018}
}

Comments

arXiv admin note: text overlap with arXiv:1712.07002, arXiv:1712.03821