2017年08月17日 |  English version
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Integrable systems with weak kink, and kink-peakon interactional solutions

报告题目: Integrable systems with weak kink, and kink-peakon interactional solutions

报告人:Qiao Zhijun,University of Texas – Rio Grande Valley,USA

报告时间:2017年8月14日(周一)16:00

报告地点:行健楼学术报告室526

邀请人:郭飞教授


Abstract:
In this work, we study an integrable system with both quadratic and cubic nonlinearity. This model is kind of a cubic generalization of the Camassa-Holm (CH) equation. The equation is shown integrable with its Lax pair, bi-Hamiltonian structure, and infinitely many conservation laws. In the case of no linear term, the peaked soliton (peakon) and multi-peakon solutions are presented. In particular, the two-peakon dynamical system is explicitly presented and their collisions are investigated in details. In some special case, the weak kink and kink-peakon interactional solutions are found. Significant difference from the CH equation is analyzed through a comparison. In the paper, we also study all possible smooth one-soliton solutions for the system.
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