摘要
在扩大二进制贝尔多项式的帮助下，新双线性的代表， B ? 分别地，为可变系数的非线性的 integrable 方程的二种类型的 cklund 转变，宽松的对和无限的能量守恒定律被获得它比获得的以前的相应结果更直接。最后，我们获得减少的 soliton 的新 multi-soliton 波浪解决方案有可变系数的方程。
With the help of the extended binary Bell polynomials, the new bilinear representations, Backlund trans- formations, Lax pair and infinite conservation laws for two types of variable-coefficient nonlinear integrable equations are obtained, respectively, which are more straightforward than previous corresponding results obtained. Finally, we obtain new multi-soliton wave solutions of a reduced soliton equations with variable coefficients.
基金
Supported by the Fundamental Research Funds for the Central Universities under Grant Nos. 20BXK03 and 2012LWB51
