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Soliton and other solutions to the (1+2)-dimensional chiral nonlinear Schrdinger equation
Communications in Theoretical Physics ( IF 2.4 ) Pub Date : 2020-12-02 , DOI: 10.1088/1572-9494/abb87b
K Hosseini 1 , M Mirzazadeh 2
Affiliation  

The (1+2)-dimensional chiral nonlinear Schrdinger equation (2D-CNLSE) as a nonlinear evolution equation is considered and studied in a detailed manner. To this end, a complex transform is firstly adopted to arrive at the real and imaginary parts of the model, and then, the modified Jacobi elliptic expansion method is formally utilized to derive soliton and other solutions of the 2D-CNLSE. The exact solutions presented in this paper can be classified as topological and nontopological solitons as well as Jacobi elliptic function solutions.



中文翻译:

(1 + 2)维手性非线性Schrdinger方程的孤子和其他解

详细讨论了作为非线性演化方程的(1 + 2)维手性非线性Schrdinger方程(2D-CNLSE)。为此,首先采用复杂的变换来得出模型的实部和虚部,然后,正式使用改进的Jacobi椭圆展开法来推导2D-CNLSE的孤子和其他解。本文提出的精确解可以分为拓扑孤子和非拓扑孤子以及Jacobi椭圆函数解。

更新日期:2020-12-02
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