Long-time asymptotics for the Sasa-Satsuma equation via nonlinear steepest descent method
Abstract
We formulate a $3\times3$ 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.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2018
- DOI:
- 10.48550/arXiv.1801.06420
- arXiv:
- arXiv:1801.06420
- Bibcode:
- 2018arXiv180106420G
- Keywords:
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- Mathematics - Analysis of PDEs
- E-Print:
- arXiv admin note: text overlap with arXiv:1712.07002, arXiv:1712.03821