新的双曲函数有理展开法和符号计算构造差分mkdv的孤波解

Extended Hyperbolic Function Rational Expansion Algorithm with Symbolic Computation to Construct Solitary Wave Solutions of Discrete mKdV Lattice

中文关键词:  扩展的双曲函数展开法  孤波解.

英文关键词:The discrete mKdV lattice  Hyperbolic function expansion method  Solitary wave solution.

中文摘要:

      本文通过利用一个广泛的题设提出一种推广的双曲函数展开法, 并利用此方法求解了 离散的 mKdV 方程, 获得了丰富的显式精确解. 此方法可以用于求其他非线性系统的精确解.

英文摘要:

      With the aid of Maple, the extended hyperbolic function rational expansion method is used to construct explicit and exact travelling solutions for the discrete mKdV lattice. As a result, many solutions are obained which include kink-shaped solitary wave solutions, bell-shaped solitary wave solutions and singular solitary wave solutions.