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

Published 18 Jan 2018 in math.AP | (1801.06420v3)

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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