Negative order KdV equation with both solitons and kink wave solutions
Mathematical Physics
2011-05-26 v3 math.MP
Pattern Formation and Solitons
Exactly Solvable and Integrable Systems
Fluid Dynamics
Abstract
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.
Keywords
Cite
@article{arxiv.1101.1605,
title = {Negative order KdV equation with both solitons and kink wave solutions},
author = {Zhijun Qiao and Jibin Li},
journal= {arXiv preprint arXiv:1101.1605},
year = {2011}
}