摘要
<正> The generalized algebraic method with symbolic computation is extended to some special-type nonlinearequations for constructing a series of new and more general travelling wave solutions in terms of special functions.Suchequations cannot be directly dealt with by the method and require some kinds of pre-processing techniques.It is shownthat soliton solutions and triangular periodic solutions can be established as the limits of the Jacobi doubly periodicwave solutions.
The generalized algebraic method with symbolic computation is extended to some special-type nonlinear equations for constructing a series of new and more general travelling wave solutions in terms of special functions. Such equations cannot be directly dealt with by the method and require some kinds of pre-processing techniques. It is shown that soliton solutions and triangular periodic solutions can be established as the limits of the Jacobi doubly periodic wave solutions.
基金
The project supported by the Natural Science Foundation of Shandong Province and the Natural Science Foundation of Liaocheng University
关键词
特殊型非线性方程
广义代数法
通解
行波解
符号计算
special-type nonlinear equations, generalized algebraic method, travelling wave solutions
