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

By B. Guo, Nan Liu. Journal of Mathematics and Physics, 2018

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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.

Subfields: Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/b2cee5ff4fe181aad4211cad63a7034260347843