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| Nizhnik方程组的一个非线性变换和多重孤子解 | |
| 引用本文： | 王明亮,李向正,韩淑霞.Nizhnik方程组的一个非线性变换和多重孤子解[J].应用数学,2005,18(2):225-231. |
| 作者姓名： | 王明亮 李向正 韩淑霞 |
| 作者单位： | 1. 河南科技大学数理系,洛阳,471003;兰州大学数学系,兰州,730000 2. 河南科技大学数理系,洛阳,471003 3. 华中科技大学数学系,武汉,430047 |
| 基金项目： | 国家自然科学基金，国家自然科学基金，the Science Foundation of Henan University of Science and Technology |
| 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. |
| 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 |
A Nonlinear Transformation and Multi-Soliton Solutions to the Nizhnik Equations |
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| WANG Ming-liang,LI Xiang-zheng,HAN Shu-xia.A Nonlinear Transformation and Multi-Soliton Solutions to the Nizhnik Equations[J].Mathematica Applicata,2005,18(2):225-231. | |
| Authors: | WANG Ming-liang LI Xiang-zheng HAN Shu-xia |
| Abstract: | 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. |
| Keywords: | Nizhnik equations Homogeneous balance principle Nonline ar transformation Hirota's method Multi-soliton solutions |
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