Integrability, existence of global solutions, and wave breaking criteria for a generalization of the Camassa–Holm equation-Reference-Cited by-同舟云学术

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Integrability, existence of global solutions, and wave breaking criteria for a generalization of the Camassa–Holm equation

Published:2020-07-22 Issue:3 Volume:145 Page:537-562
ISSN:0022-2526
Container-title:Studies in Applied Mathematics
language:en
Short-container-title:Studies in Applied Mathematics

Author:

da Silva Priscila Leal¹^ORCID,Freire Igor Leite²³^ORCID

Affiliation:

1. Centro de Matemática, Computação e Cognição Universidade Federal do ABC Santo André Brazil

2. Mathematical Institute Silesian University in Opava, Na Rybníčku Opava Czech Republic

3. Centro de Matemática, Computação e Cognição Universidade Federal do ABC Santo André SP Brazil

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Publisher

Wiley

Subject

Applied Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1111/sapm.12327

Reference66 articles.

1. An integrable shallow water equation with peaked solitons

2. Symplectic structures, their Bäcklund transformations and hereditary symmetries

3. A New Integrable Shallow Water Equation

4. The Hydrodynamical Relevance of the Camassa–Holm and Degasperis–Procesi Equations

5. Variational derivation of the Camassa-Holm shallow water equation

Cited by 15 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Persistence and asymptotic analysis of solutions of nonlinear wave equations;Journal of Evolution Equations;2024-01-17

2. Breakdown of pseudospherical surfaces determined by the Camassa-Holm equation;Journal of Differential Equations;2024-01

3. Existence and uniqueness of the globally conservative solutions for a weakly dissipative Camassa–Holm equation in time weighted H1(R) space;Journal of Mathematical Physics;2023-10-01

4. Wave breaking and asymptotic analysis of solutions for a class of weakly dissipative nonlinear wave equations;Journal of Differential Equations;2023-06

5. Formation of singularity of solution to a nonlinear shallow water equation;Journal of Inequalities and Applications;2023-03-01

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