The blow-up phenomena and exponential decay of solutions for a three-component Camassa-Holm equations
Xinglong Wu
TL;DR
This paper investigates the blow-up phenomena and exponential decay of solutions for a three-component Camassa-Holm equation, introducing new wave-breaking solutions and extending existing decay results.
Contribution
It presents new wave-breaking solutions and extends previous exponential decay results for the three-component Camassa-Holm equations.
Findings
New wave-breaking solution obtained.
Exponential decay results extended and covered.
Contributions compare with and extend prior work.
Abstract
The present paper is mainly concerned with the blow-up phenomena and exponential decay of solution for a three-component Camassa-Holm equation. Comparing with the result of Hu, ect. in the paper[1], a new wave-breaking solution is obtained. The results of exponential decay of solution in our paper cover and extent the corresponding results in [12, 19, 22].
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Taxonomy
TopicsNonlinear Waves and Solitons · Advanced Differential Equations and Dynamical Systems · Nonlinear Photonic Systems