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The Cauchy problem of a weakly dissipative shallow water equation

Published:2018-01-11 Issue:8 Volume:98 Page:1387-1402
ISSN:0003-6811
Container-title:Applicable Analysis
language:en
Short-container-title:Applicable Analysis

Author:

Ming Sen¹,Lai Shaoyong²,Su Yeqin³

Affiliation:

1. Department of Mathematics, North University of China , Taiyuan, China.

2. Department of Mathematics, Southwestern University of Finance and Economics , Chengdu, China.

3. Department of Securities and Futures, Southwestern University of Finance and Economics , Chengdu, China.

Funder

Scientific Research Foundation of North University of China

National Natural Science Foundation of P. R. China

Publisher

Informa UK Limited

Subject

Applied Mathematics,Analysis

Link

https://www.tandfonline.com/doi/pdf/10.1080/00036811.2017.1422728

Reference37 articles.

1. An integrable shallow water equation with peaked solitons

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

3. The trajectories of particles in Stokes waves

4. Analyticity of periodic traveling free surface water waves with vorticity

5. Particle trajectories in solitary water waves

Cited by 9 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. Wave-breaking phenomena and Gevrey regularity for the weakly dissipative generalized Camassa–Holm equation;Monatshefte für Mathematik;2023-07-17

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

3. Global weak solutions of nonlinear rotation-Camassa-Holm model;AIMS Mathematics;2023

4. Wave-breaking phenomena and persistence properties for a nonlinear dissipative Camassa–Holm equation;Applicable Analysis;2022-11-01

5. The Cauchy problem for coupled system of the generalized Camassa-Holm equations;AIMS Mathematics;2022

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