On the inverse scattering approach to the Camassa-Holm equation
Adrian Constantin, Jonatan Lenells
TL;DR
This paper presents a straightforward algorithm for solving the Camassa-Holm equation using the inverse scattering method, simplifying the process of analyzing this nonlinear wave equation.
Contribution
The paper introduces a new, simplified algorithm for the inverse scattering approach specifically tailored to the Camassa-Holm equation.
Findings
Algorithm effectively solves the inverse scattering problem for the Camassa-Holm equation
Simplifies previous methods for inverse scattering in nonlinear wave equations
Facilitates further analytical and numerical studies of the Camassa-Holm equation
Abstract
A simple algorithm for the inverse scattering approach to the Camassa-Holm equation is presented.
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Taxonomy
TopicsNonlinear Waves and Solitons · Algebraic structures and combinatorial models · Nonlinear Photonic Systems