| 具有色散系数的(2+1)维非线性Schrödinger方程的有理解和空间孤子 |
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| 引用本文： | 马正义,马松华,杨毅. 具有色散系数的(2+1)维非线性Schrödinger方程的有理解和空间孤子[J]. 物理学报, 2012, 61(19): 190508-190508 |
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| 作者姓名： | 马正义 马松华 杨毅 |
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| 作者单位： | 1. 丽水学院理学院, 丽水 323000;2. 宁波大学理学院, 宁波 315211 |
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| 基金项目： | 应用非线性科学与技术浙江省重中之重学科开放基金和浙江省自然科学基金(批准号:Y606049, Y6100257)资助的课题. |
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| 摘 要： | 非线性Schrödinger方程是物理学中具有广泛应用的非线性模型之一. 本文采用相似变换, 将具有色散系数的(2+1)维非线性Schrödinger方程简化成熟知的Schrödinger方程, 进而得到原方程的有理解和一些空间孤子.
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| 关 键 词： | 非线性Schrödinger方程 相似变换 有理解 孤子结构 |
| 收稿时间： | 2012-02-24 |
Rational solutions and spatial solitons for the (2+1)-dimensional nonlinear Schrödinger equation with distributed coefficients |
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| Ma Zheng-Yi,Ma Song-Hua,Yang Yi. Rational solutions and spatial solitons for the (2+1)-dimensional nonlinear Schrödinger equation with distributed coefficients[J]. Acta Physica Sinica, 2012, 61(19): 190508-190508 |
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| Authors: | Ma Zheng-Yi Ma Song-Hua Yang Yi |
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| Affiliation: | 1. College of Science, Lishui University, Lishui 323000, China;2. College of Science, Ningbo University, Ningbo 315211, China |
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| Abstract: | The nonlinear Schrödinger equation is one of the most important nonlinear models with widely applications in physics. Based on a similarity transformation, the (2+1)-dimensional nonlinear Schrödinger equation with distributed coefficients is transformed into a traceable nonlinear Schrödinger equation, and then two types of rational solutions and several spatial solitons are derived. |
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| Keywords: | nonlinear Schrö dinger equation similarity transformation rational solution soliton structure |
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