摘要
将三Riccati方程的新展开法应用于求解非线性差分-微分方程,借助符号计算系统Maple,得到了离散KdV方程和离散mKdVlattice方程的一些新的精确解,并具体给出了双曲函数解.
The new expansion algorithm of three Riccati equations is generalized to solve nonlinear difference- differential equation(s). Based on that,more new solutions of the discrete KdV equation and the discrete nonlinear mKdV lattice equation are obtained with the help of symbolic calculation system Maple. The hyperbolie funetion solutions are presented in detail.
出处
《内蒙古师范大学学报(自然科学汉文版)》
CAS
2008年第4期462-467,471,共7页
Journal of Inner Mongolia Normal University(Natural Science Edition)
基金
Project Supported by National Nature Science Foundation of China(10461006)
the High Education Science ResearchProgramof Inner Mongolia(NJ02035)
the Natural Science Foundation of Inner Mongolia(2004080201103)