A generalised short pulse equation: Darboux transformation and exact solutions

被引：0
|
作者：
Chendi Zhu
Lihua Wu
机构：
[1] Huaqiao University,Fujian Province University Key Laboratory of Computational Science, School of Mathematical Sciences
来源：
Pramana | 2020年 / 94卷
关键词：
Generalised short pulse equation; conservation laws; Darboux transformation; exact solutions; 02.30.Ik; 04.20.Jb; 05.45.Yv;
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学科分类号：
摘要：
We construct infinitely many conservation laws of the generalised short pulse equation with the help of its Lax pairs. By a reciprocal transformation, the generalised short pulse equation was transformed to the first negative flow of Sawada–Kotera hierarchy. On the basis of Darboux and reciprocal transformations, we obtain some exact solutions of the generalised short pulse equation.
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