摘要
应用平面动力系统方法研究(2+1)维Gardner(2DG)方程的精确行波解.通过讨论在不同参数区域中的相图获得了各种光滑解存在的充分条件,并在给定的参数条件下获得了其孤立波解和周期波解的参数表达式.
Using the method of dynamical systems, the exact traveling wave solutions for the (2 +1)-dimension Gardner (2DG) equation are studied. The sufficient conditions to guarantee the existence of smooth solutions are a- chieved by studying the phase diagrams in different parameter regions, and the exact explicit parametric representa- tions of some solitary wave solutions and periodic wave solutions with different parametric are given.
出处
《江苏师范大学学报(自然科学版)》
CAS
2012年第4期18-23,共6页
Journal of Jiangsu Normal University:Natural Science Edition