Abstract

We compute the long-time asymptotics of the solution to the Cauchy problem for coupled Sasa-Satsuma equation on the line with decaying initial data. By performing a nonlinear steepest descent arguments for an associated 5 × 5 5\times 5 matrix Riemann–Hilbert problem, it turns out that in the sector | x / t 1 / 3 | ≤ N |x/t^{1/3}|\leq N , N N constant, the asymptotics can be expressed in terms of the solution of a coupled modified Painlevé II equation, which is related to a 5 × 5 5\times 5 matrix Riemann–Hilbert problem.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.