Article ID Journal Published Year Pages File Type
10224137 Journal of Differential Equations 2018 25 Pages PDF
Abstract
The initial value problem for the Sasa-Satsuma equation is transformed to a 3×3 matrix Riemann-Hilbert problem with the help of the corresponding Lax pair. Two distinct factorizations of the jump matrix and a decomposition of the vector-valued function ρ(k) are given, from which the long-time asymptotics for the Sasa-Satsuma equation with decaying initial data is obtained by using the nonlinear steepest descent method.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
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