Nizhnik方程组的一个非线性变换和多重孤子解(英文)  

A Nonlinear Transformation and Multi-Soliton Solutions to the Nizhnik Equations

作　　者：王明亮[1] 李向正[1] 韩淑霞[2] 

机构地区：[1]河南科技大学数理系 [2]华中科技大学数学系,武汉430047

出　　处：《应用数学》2005年第2期225-231,共7页Mathematica Applicata

基　　金：Supported by the Natural Science Foundation of Henan Province of China(0111050200); Natural Science Foundation of Education Committee of Henan Province of China(2003110003);the Science Foundation of Henan University of Science and Technology(2003ZY03)

摘　　要：用齐次平衡原则导出了一个非线性变换,通过该变换Nizhnik方程组化为一个齐2次方程.用Hirota方法可求出齐2 次方程的一列解.将其代入非线性变换,得Nizhnik方程组的多重孤子解.详细分析了二重孤子解.By using the homogeneous balance principle, a nonlinear transformation of dependent variable is derived,through which the Nizh nick equations are transformed into a single homogeneity equation of 2-degree f or the new dependent variable.The homogeneity equation is solved by using Hirota 's method.Substituting the solutions of the homogeneity equation into the nonlin ear transformation yields the multi-soliton solutions to the Nizhnik equations. The 2-soliton solution is discussed in detail.

关 键 词：Nizhnik方程组 齐次平衡原则 非线性变换 HIROTA方法 多重弧子解 

分 类 号：O175.2[理学—数学]