𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On Integrability of the Camassa–Holm Equation and

✍ Scribed by V. Golovko; P. Kersten; I. Krasil’shchik; A. Verbovetsky

Publisher
Springer Netherlands
Year
2008
Tongue
English
Weight
503 KB
Volume
101
Category
Article
ISSN
0167-8019

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Two-dimensional integrable generalizatio
Two-dimensional integrable generalization of the Camassa–Holm equation
✍ R.A. Kraenkel; A. Zenchuk 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 63 KB

In this letter we discuss the 2 q 1 -dimensional generalization of the Camassa-Holm equation. We require that this generalization be, at the same time, integrable and physically derivable under the same asymptotic analysis as the original Camassa-Holm equation. First, we find the equation in a pertu

Conservation laws for Camassa–Holm equat
Conservation laws for Camassa–Holm equation, Dullin–Gottwald–Holm equation and generalized Dullin–Gottwald–Holm equation
✍ R. Naz; I. Naeem; S. Abelman 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 391 KB

In this paper we construct the conservation laws for the Camassa-Holm equation, the Dullin-Gottwald-Holm equation (DGH) and the generalized Dullin-Gottwald-Holm equation (generalized DGH). The variational derivative approach is used to derive the conservation laws. Only first order multipliers are c

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