𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Peaked wave solutions of Camassa–Holm equation

✍ Scribed by Zheng-rong Liu; Rui-qi Wang; Zhu-jun Jing

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
295 KB
Volume
19
Category
Article
ISSN
0960-0779

No coin nor oath required. For personal study only.

✦ Synopsis

The analytic expressions of peaked solitary wave solutions and peaked periodic wave solutions of Camassa-Holm equation are obtained by using bifurcation method of planar dynamical systems. The convergence of the peaked periodic wave solutions is proved. Numerical simulation results show the consistence with the theoretical analysis. The results in this paper are wider than those already known.

📜 SIMILAR VOLUMES

New peaked solitary wave solutions of th
New peaked solitary wave solutions of the generalized Camassa–Holm equation
✍ Lixin Tian; Xiuying Song 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 805 KB

In this paper, we consider generalized Camassa-Holm equations and the generalized weakly dissipative Camassa-Holm equations and derive some new exact peaked solitary wave solutions. For m ¼ 3, where m is representative of the strength of the nonlinearity, we give two types new exact traveling wave s

Optimal control of the viscous Camassa–H
Optimal control of the viscous Camassa–Holm equation
✍ Lixin Tian; Chunyu Shen; Danping Ding 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 304 KB

This paper studies the problem of optimal control of the viscous Camassa-Holm equation. The existence and uniqueness of weak solution to the viscous Camassa-Holm equation are proved in a short interval. According to variational method, optimal control theories and distributed parameter system contro