具有色散系数的（2＋1）维非线性Schroedinger方程的有理解和空间孤子

马正义; 马松华; 杨毅

物理学报

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马正义, 马松华, 杨毅. 2012: 具有色散系数的（2＋1）维非线性Schroedinger方程的有理解和空间孤子, 物理学报, 61(19): 82-86.

引用本文:

马正义, 马松华, 杨毅. 2012: 具有色散系数的（2＋1）维非线性Schroedinger方程的有理解和空间孤子, 物理学报, 61(19): 82-86.

2012: Rational solutions and spatial solitons for the (2+1)-dimensional nonlinear Schroedinger equation with distributed coefficients, Acta Physica Sinica, 61(19): 82-86.

Citation:

2012: Rational solutions and spatial solitons for the (2+1)-dimensional nonlinear Schroedinger equation with distributed coefficients, Acta Physica Sinica, 61(19): 82-86.

具有色散系数的（2＋1）维非线性Schroedinger方程的有理解和空间孤子

丽水学院理学院,丽水323000 宁波大学理学院,宁波315211
丽水学院理学院,丽水,323000

Rational solutions and spatial solitons for the (2+1)-dimensional nonlinear Schroedinger equation with distributed coefficients

摘要: 非线性Schroedinger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Schrioedinger方程简化成熟知的Schroedinger方程，进而得到原方程的有理解和一些空间孤子．
- 非线性Schroedinger方程 /
- 相似变换 /
- 有理解 /
- 孤子结构
Abstract: The nonlinear Schroedinger equation is one of the most important nonlinear models with widely applications in physics. Based on a similarity transformation, the (2+1)-dimensional nonlinear Schroedinger equation with distributed coefficients is transformed into a traceable nonlinear Schroedinger equation, and then two types of rational solutions and several spatial solitons are derived.