Nizhnik-Novikov-Vesselov方程的无穷序列类孤子精确解  

Infinite sequence soliton-like exact solutions of Nizhnik-Novikov-Vesselov equation

作　　者：套格图桑[1,2] 白玉梅[2] 

机构地区：[1]内蒙古民族大学数学学院,通辽028043 [2]内蒙古师范大学数学科学学院,呼和浩特010022

出　　处：《物理学报》2012年第11期30-40,共11页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10862003);内蒙古自治区高等学校科学研究基金(批准号:NJZY12031);内蒙古自治区自然科学基金(批准号:2010MS0111)资助的课题~~

摘　　要：为了构造非线性发展方程的无穷序列类孤子精确解,发掘第一种椭圆辅助方程的构造性和机械化性特点,获得了该方程的一些新类型解和相应的Bcklund变换.在此基础上利用符号计算系统Mathematica构造了Nizhnik-Novikov-Vesselov方程的无穷序列类孤子精确解,包括无穷序列光滑类孤子解、无穷序列类尖峰孤立子解和无穷序列类紧孤立子解.To construct the infinite sequence soliton-like exact solutions of nonlinear evolution equations and develop the characteristics of constructivity and mechanization of the first kind of elliptic equation,new type of solutions and the corresponding Bcklund transformation of the equation are presented.Based on this,infinite sequence soliton-like exact solutions of Nizhnik-Novikov-Vesselov equation are obtained with the help of symbolic computation system Mathematica,which includes infinite sequence smooth solitonlike solutions,infinite sequence peak soliton-like solutions and infinite sequence compact soliton-like solutions.

关 键 词：第一种椭圆辅助方程 Bcklund变换 Nizhnik-Novikov-Vesselov方程 无穷序列精确解 

分 类 号：O411.1[理学—理论物理] O175[理学—物理]