| Nizhnik-Novikov-Vesselov方程的无穷序列类孤子精确解 |
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| 引用本文： | 套格图桑,白玉梅.Nizhnik-Novikov-Vesselov方程的无穷序列类孤子精确解[J].物理学报,2012,61(11):110203-110203. |
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| 作者姓名： | 套格图桑 白玉梅 |
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| 作者单位： | 1. 内蒙古民族大学数学学院,通辽028043 内蒙古师范大学数学科学学院,呼和浩特010022
2. 内蒙古师范大学数学科学学院,呼和浩特,010022 |
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| 基金项目： | 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) 和内蒙古自治区自然科学基金(批准号: 2010MS0111)资助的课题. |
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| 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 Bäcklund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.
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| 关 键 词： | 第一种椭圆辅助方程 Bäcklund 变换 Nizhnik-Novikov-Vesselov方程 无穷序列精确解 |
| 收稿时间： | 2011-09-08 |
Infinite sequence soliton-like exact solutions of Nizhnik-Novikov-Vesselov equation |
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| Taogetusang,Bai Yu-Mei.Infinite sequence soliton-like exact solutions of Nizhnik-Novikov-Vesselov equation[J].Acta Physica Sinica,2012,61(11):110203-110203. |
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| Authors: | Taogetusang Bai Yu-Mei |
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| Institution: | 1. College of Mathematical, Inner Mongolia University for Nationalities, Tongliao 028043, China;
2. College of Mathematical Science, Inner Mongolia Normal University, Huhhot 010022, China |
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| Abstract: | 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 Bäcklund 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 soliton-like solutions, infinite sequence peak soliton-like solutions and infinite sequence compact soliton-like solutions. |
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| Keywords: | the first kind of elliptic equation Bä cklund transformation Nizhnik-Novikov-Vesselov equation infinite sequence exact solution |
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