正则化长波方程的显式精确解
Explicit Solutions of Regularized Long Wave Equation
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摘要: 利用推广的齐次平衡法,给出了正则化长波方程的一种Backlund变换。从方程的平凡解出发通过两种方式得到了RLW方程的一些显式精确解,诸如孤波解、周期解、有理分式解,以及椭圆函数解。Abstract: Based on the extended homogenous balance method, we get a Backlund transformation to the regularized long wave (RLW) equation. By applying our Backlund transformation and a given trivial solution, we find some explicit solutions of the RLW equation, such as solitary wave, periodic, rational and elliptic function solutions.