Geometrical demonstration for persistence properties of a bi-Hamiltonian shallow water system-Reference-Cited by-同舟云学术

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Geometrical demonstration for persistence properties of a bi-Hamiltonian shallow water system

Published:2022-04-01 Issue:4 Volume:63 Page:041510
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:J. Math. Phys.

Author:

Freire Igor Leite¹^ORCID

Affiliation:

1. Centro de Matemática, Computação e Cognição, Universidade Federal do ABC, Avenida dos Estados, 5001, Bairro Bangu, 09210-580 Santo André, SP, Brazil

Abstract

We present a geometrical demonstration for the persistence properties for a bi-Hamiltonian system modeling waves in a shallow water regime. Both periodic and non-periodic cases are considered, and a key ingredient in our approach is one of the Hamiltonians of the system.

Funder

Fundação de Amparo à Pesquisa do Estado de São Paulo

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://aip.scitation.org/doi/pdf/10.1063/5.0085201

Reference27 articles.

1. Symplectic structures, their Bäcklund transformations and hereditary symmetries

2. The Lie Algebra Structure of Nonlinear Evolution Equations Admitting Infinite Dimensional Abelian Symmetry Groups

3. On a class of physically important integrable equations

4. An integrable shallow water equation with peaked solitons

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