摘要
利用文献中引入的变换,将非线性偏微分方程化为非线性常微分方程,再直接求解该常微分方程,从而简洁地求得了KdV方程和KdV-Burgers方程的若干显式精确解析解,包括孤波解、奇异行波解等.
By using a transformation introduced formerly,a nonlinear partial differential equation was reduced to a nonlinear ordinary differential equation, and then solved directly. A series of explicit and exact analytical solutions to the KdV equation and KdV-Burgers equation, including solitary wave solutions and singular travelling wave solutions etc. ,were derived easily.
出处
《内蒙古师范大学学报（自然科学汉文版）》
CAS
2007年第1期6-9,共4页
Journal of Inner Mongolia Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(10472029)
