A variational characterization of 2-soliton profiles for the KdV equation
Analysis of PDEs
2025-04-15 v2
Abstract
We use profile decomposition to characterize 2-soliton solutions of the KdV equation as global minimizers to a constrained variational problem involving three of the polynomial conservation laws for the KdV equation.
Keywords
Cite
@article{arxiv.2101.10574,
title = {A variational characterization of 2-soliton profiles for the KdV equation},
author = {John P. Albert and Nghiem V. Nguyen},
journal= {arXiv preprint arXiv:2101.10574},
year = {2025}
}
Comments
References added, exposition improved, revised argument in section 5, results unchanged