利用改进的直接方法得到了一类Camassa-Holm方程的等价变换和对称群定理,建立了方程新解与旧解之间的关系,在已有的一些精确解的基础上利用对称群定理得到了Camassa-Holm方程的许多新的显式精确解.
A simple improved direct method is presented to find equivalence transformation for a class of Camassa-Holm equation. Applying this equivalence transformation, the theorem of symmetry group for the Camassa-Holm equation is obtained, which describes the relationship between the new solutions and the old ones. Some new exact and explicit solutions of the Camassa-Holm equation are obtained by the present references.
参考文献
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