Long-time asymptotics for the Sasa–Satsuma equation via nonlinear steepest descent method
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5061793
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… read more here.
Keywords: steepest descent; sasa satsuma; nonlinear steepest; satsuma equation ... See more keywords
Nonlinear steepest descent on a torus: a case study of the Landau–Lifshitz equation
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DOI: 10.1088/1361-6544/adbe22
Abstract: We obtain rigorous large time asymptotics for the Landau–Lifshitz (LL) equation in the soliton free case by extending the nonlinear steepest descent method to genus 1 surfaces. The methods presented in this paper pave the… read more here.
Keywords: landau lifshitz; nonlinear steepest; lifshitz equation; case ... See more keywords