| (2+1)维五次非线性薛定谔方程的无穷序列新解 |
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| 引用本文： | 阿如娜,套格图桑.(2+1)维五次非线性薛定谔方程的无穷序列新解[J].纯粹数学与应用数学,2014,30(4):412-419. |
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| 作者姓名： | 阿如娜 套格图桑 |
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| 作者单位： | 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，内蒙古自治区高等学校科学研究基金，内蒙古自治区自然科学基金 |
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| 摘 要： | 利用第二种椭圆方程的解和B¨acklund变换,获得了(2+1)维五次非线性薛定谔方程的新解.这些解是由Jacobi椭圆函数、三角函数、Riemann theta函数和指数函数组成的无穷序列新解.
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| 关 键 词： | 第二种椭圆方程 B¨acklund变换 无穷序列新解 |
New infinite sequence solutions of (2+1)-dimensional cubic-quintic nonlinear Schr(o)dinger equation |
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| Aruna,Taogetusang.New infinite sequence solutions of (2+1)-dimensional cubic-quintic nonlinear Schr(o)dinger equation[J].Pure and Applied Mathematics,2014,30(4):412-419. |
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| Authors: | Aruna Taogetusang |
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| Institution: | Aruna, Taogetusang (College of Mathematical Science, Inner Mongolia Normal University, Huhhot 010022, China) |
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| Abstract: | In order to obtain a new infinite sequence solutions of （2 ＋ 1）-dimensional cubic-quintic nonlinear SchrSdinger equation, this paper uses the solutions and B~cklund transform of second kind of elliptic equations to construct the new infinite sequence solutions of （2 ＋ 1）-dimensional cubic-quintic nonlinear SchrSdinger equation consisting of Jacobi elliptic function, trigonometric function, Riemann theta function and exponential function. |
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| Keywords: | the second kind of elliptic equation Backlund transform new infinite sequence solutions |
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