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… Click to show full 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 way to a rigorous analysis of other integrable equations on the torus and enable asymptotic analysis on different regimes of the LL equation.
Keywords:
landau lifshitz;
nonlinear steepest;
lifshitz equation;
case;
steepest descent
Journal Title: Nonlinearity
Year Published: 2024
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Journal Title: Nonlinearity
Year Published: 2024
Link to full text (if available)
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recommendations!