【摘要】 利用一种基于符号计算的代数方法,结合Maple环境中的Epsilon软件包,求解(2+1)维Nizhnik-Novikov-Veselov方程,获得了若干其它方法不曾给出的形式更为丰富的新的显式行波解,其中包括双曲函数解和三角函数解。用F-展开法求得(2+1)维Nizhnik-Novikov-Veselov方程的新周期波解和孤波解。更多还原

【Abstract】 The algebraic method,based on the symbolic computation,has been applied to study new traveling wave solutions for(2+1)dimensional Nizhnik-Novikov-Veselov equation by means of Epsilon package in Maple.More new explicit travelling wave solutions are obtained,which contain solitons,hyperbola function and triangular periodic solutions.This article used F-expansion method to get the new periodic wave solutions.更多还原