| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5011523 | Communications in Nonlinear Science and Numerical Simulation | 2017 | 18 Pages |
Abstract
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 Painlevé property of the associated system.
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Authors
Hongmin Li, Wang Chai,