Negative-order KdV equation with both solitons and kink wave solutions
Department of Mathematics, The University of Texas-Pan American 1201 W University Drive Edinburg, TX 78539, US
2 Department of Mathematics, Zhejiang Normal University - Jinhua, Zhejiang, 321004, China
Accepted: 18 April 2011
In this paper, we report an interesting integrable equation that has both solitons and kink solutions. The integrable equation we study is , which actually comes from the negative KdV hierarchy and could be transformed to the Camassa-Holm equation through a gauge transform. The Lax pair of the equation is derived to guarantee its integrability, and furthermore the equation is shown to have classical solitons, periodic soliton and kink solutions.
PACS: 02.30.Ik – Integrable systems / 05.45.Yv – Solitons / 03.75.Lm – Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations
© EPLA, 2011