A new Liouville transformation for the Geng-Xue system

作者：Li, Hongmin; Chai, Wang^*

来源：Communications in Nonlinear Science & Numerical Simulation, 2017, 49: 93-101.

DOI：10.1016/j.cnsns.2017.01.027

• Liouville transformation
• Bi-Hamiltonian structure
• Painleve property

We construct a new Liouville transformation for the Geng-Xue system and show that the associated Geng-Xue system is a reduction of the first negative flow in a modified Boussinesq hierarchy. Using this transformation, we consider the behaviors of the solutions and bi-Hamiltonian structures between the Geng-Xue and associated systems. We also give the infinitely many conserved quantities and prove the Painleve property of the associated system.

• 出版日期2017-8
• 单位华侨大学