Conservation laws for Camassa–Holm equation, Dullin–Gottwald–Holm equation and generalized Dullin–Gottwald–Holm equation

✍ Scribed by R. Naz; I. Naeem; S. Abelman

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 391 KB
• Volume: 10
• Category: Article
• ISSN: 1468-1218
• DOI: 10.1016/j.nonrwa.2008.09.028

✦ Synopsis

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 considered. Two multipliers are obtained for the Camassa-Holm equation. For the DGH and generalized DGH equations the variational derivative approach yields two multipliers; thus two conserved vectors are obtained.