Work

Nonlinear steepest descent on a torus: a case study of the Landau–Lifshitz equation

Year: 2025

Type: article

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.

Source: Nonlinearity

DOI: 10.1088/1361-6544/adbe22

Authors: Harini Desiraju, Alexander Its, Andrei Prokhorov

Institutions: The University of Sydney, St Petersburg University, Indiana University Indianapolis, University of Michigan, University of Chicago

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,325