量子电子学报
量子電子學報
양자전자학보
CHINESE JOURNAL OF QUANTUM ELECTRONICS
2009年
6期
654-657
,共4页
非线性方程%等价变换%直接方法%Camassa-Holm方程%精确解
非線性方程%等價變換%直接方法%Camassa-Holm方程%精確解
비선성방정%등개변환%직접방법%Camassa-Holm방정%정학해
nonlinear equation%equivalence transformation%direct method%Camassa-Holm equation%explicit solutions
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.
利用改進的直接方法得到瞭一類Camassa-Holm方程的等價變換和對稱群定理,建立瞭方程新解與舊解之間的關繫,在已有的一些精確解的基礎上利用對稱群定理得到瞭Camassa-Holm方程的許多新的顯式精確解.
이용개진적직접방법득도료일류Camassa-Holm방정적등개변환화대칭군정리,건립료방정신해여구해지간적관계,재이유적일사정학해적기출상이용대칭군정리득도료Camassa-Holm방정적허다신적현식정학해.
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.
