Algebro-geometric solutions for the generalized nonlinear Schrödinger hierarchy
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Authors
Qian Li
- Department of Mathematics, Shanghai University, Shanghai, 200444, China.
Tiecheng Xia
- Department of Mathematics, Shanghai University, Shanghai, 200444, China.
Chao Yue
- College of Information Engineering, Taishan Medical University, Taian, 271016, China.
Abstract
This paper is dedicated to provide explicit theta function representation of algebro-geometric solutions for
the generalized nonlinear Schrödinger hierarchy. Our main tools include zero-curvature equation to derive
the generalized nonlinear Schrödinger hierarchy, the hyper-elliptic curve with genus of N, the Abel-Jacobi
coordinates, the meromorphic function, the Baker-Akhiezer functions, and the Dubrovin-type equations for
auxiliary divisors. With the help of these tools, the explicit representations of the Baker-Ahhiezer functions,
the meromorphic function, and the algebro-geometric solutions are obtained for the whole generalized
nonlinear Schrödinger hierarchy.
Share and Cite
ISRP Style
Qian Li, Tiecheng Xia, Chao Yue, Algebro-geometric solutions for the generalized nonlinear Schrödinger hierarchy, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 2, 661--676
AMA Style
Li Qian, Xia Tiecheng, Yue Chao, Algebro-geometric solutions for the generalized nonlinear Schrödinger hierarchy. J. Nonlinear Sci. Appl. (2016); 9(2):661--676
Chicago/Turabian Style
Li, Qian, Xia, Tiecheng, Yue, Chao. "Algebro-geometric solutions for the generalized nonlinear Schrödinger hierarchy." Journal of Nonlinear Sciences and Applications, 9, no. 2 (2016): 661--676
Keywords
- Algebro-geometric solutions
- Abel-Jacobi coordinates
- meromorphic function
- Dubrovin-type equations
- generalized nonlinear Schrödinger hierarchy.
MSC
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