Lax matrix and a generalized coupled KdV hierarchy

✍ Scribed by Xuemei Li; Xianguo Geng

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 175 KB
• Volume: 327
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/s0378-4371(03)00260-7

✦ Synopsis

Based on the study of the confocal Lax matrix, new confocal involutive systems and a new spectral problem are proposed from which a hierarchy of generalized coupled KdV equations is derived. The Abel-Jacobi coordinates are introduced to straighten out the associated ows. Algebro-geometric solutions of the generalized coupled KdV soliton equations are obtained with the help of Jacobi inversion. A generating function approach is used to prove the involutivity and the functional independence of the conserved integrals.