Prolongation structures of a generalized coupled Korteweg-de Vries equation and Miura transformation

✍ Scribed by Yuan-Hao Cao; Deng-Shan Wang

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 187 KB
• Volume: 15
• Category: Article
• ISSN: 1007-5704
• DOI: 10.1016/j.cnsns.2009.10.020

✦ Synopsis

In this paper, the prolongation structures of a generalized coupled Korteweg-de Vries (KdV) equation are investigated and two integrable coupled KdV equations associated with their Lax pairs are derived. Furthermore, a Miura transformation related to a integrable coupled KdV equation is derived, from which a new coupled modified KdV equations is obtained.