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

Boling Guo; Nan Liu

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arXiv · 1801.06420

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

Boling Guo·Nan Liu

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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.

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Boling Guo, Nan Liu. 2018-01-18. Long-time asymptotics for the Sasa-Satsuma equation via nonlinear steepest descent method. https://arxiv.org/abs/1801.06420

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