摘要
应用简化的双线性方法研究由Boiti等导出的(2+1)维非对称Nizhnik-Novikov-Veselov系统.通过一些辅助函数的特殊表达式作为解的假设,利用数学软件计算,获得了该系统的两孤子解和三孤子解,并给出两孤子解和三孤子解的三维和二维图,直观地显示了这2种孤立子解的动力学行为,同时也体现了简化的双线性方法在解可积方程中的有效性.
In this paper,by using the Simplified bilinear method,we study（2 ＋ 1）-dimensional asymmetric Nizhnik-Novikov-Veselov system via some special auxiliary functions. By employing mathematical software,two-soliton solutions and three-soliton solutions of this equation are obtained,the 3D and 2D graphs of two-soliton solutions and three-soliton solutions are given. The properties of these multi-soliton solutions can be directly perceived. It is shown that the simplified bilinear method is valid to solve integrable equation.
出处
《四川师范大学学报（自然科学版）》
CAS
北大核心
2015年第2期243-248,共6页
Journal of Sichuan Normal University（Natural Science）
基金
云南省自然科学基金(2011FZ193)资助项目
