Nonlinear steepest descent on a torus: a case study of the Landau–Lifshitz equation
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.
Authors
- Andrei Prokhorov (ORCID: https://orcid.org/0000-0001-8795-7275)
- Harini Desiraju (ORCID: https://orcid.org/0000-0003-1130-0933)
- Alexander Its
Institutions
- The University of Sydney (AU)
- St Petersburg University (RU)
- University of Michigan (US)
- University of Chicago (US)
- Indiana University – Purdue University Indianapolis (US)
Publication Details
- Journal
- Nonlinearity
- Published
- 2025-03-27
- DOI
- https://doi.org/10.1088/1361-6544/adbe22
- Citations
- 1
- Primary Topic
- Quantum chaos and dynamical systems
- Type
- article
- Field-Weighted Citation Impact
- 1.32
Funders
- National Science Foundation
- Stanley Medical Research Institute
- Royal Society
- Russian Science Foundation
- Division of Mathematical Sciences