Integrable Hierarchy of Multi-Component Kaup -Boussinesq Equations

2013/01/17 by Gurses, Metin
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1301.4075

Abstract

By using the Lax approach we find the integrable hierarchy of the two and three field Kaup-Boussinesq equations. We then give a multi-component Kaup-Boussinesq equations and their recursion operators. Finally we show that all multi-component Kaup-Boussinesq equations are the degenerate Svinolupov KdV systems.

Related

• Multi-component decompositions, linear superpositions, and new nonlinear integrable coupled KdV-type systems
• A new multi-component CKP hierarchy
• Two new multi-component BKP hierarchies
• Liouville correspondences between multi-component integrable hierarchies
• Lax formulation of 3--component KP hierarchy by Shiota construction