A variational characterization of 2-soliton profiles for the KdV equation

Fuente: arXiv
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Main Authors: Albert, John P., Nguyen, Nghiem V.
Format: Preprint
Published: 2021
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author Albert, John P.
Nguyen, Nghiem V.
author_facet Albert, John P.
Nguyen, Nghiem V.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2101_10574
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle A variational characterization of 2-soliton profiles for the KdV equation
Albert, John P.
Nguyen, Nghiem V.
Analysis of PDEs
35Q53 (Primary) 35C08, 35A15 (Secondary)
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.
title A variational characterization of 2-soliton profiles for the KdV equation
topic Analysis of PDEs
35Q53 (Primary) 35C08, 35A15 (Secondary)
url https://arxiv.org/abs/2101.10574