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Multisoliton solutions in terms of double Wronskian determinant for a generalized variable-coefficient nonlinear Schrödinger equation from plasma physics, arterial mechanics, fluid dynamics and optical communications |
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| Authors: | Xing Lü Hong-Wu Zhu Zhen-Zhi Yao Xiang-Hua Meng Cheng Zhang Chun-Yi Zhang Bo Tian |
| Institution: | a School of Science, P.O. Box 122, Beijing University of Posts and Telecommunications, Beijing 100876, China b Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China c Meteorology Center of Air Force Command Post, Changchun 130051, China d State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics, Beijing 100083, China e Key Laboratory of Optical Communication and Lightwave Technologies, Ministry of Education, Beijing University of Posts and Telecommunications, Beijing 100876, China |
| Abstract: | In this paper, the multisoliton solutions in terms of double Wronskian determinant are presented for a generalized variable-coefficient nonlinear Schrödinger equation, which appears in space and laboratory plasmas, arterial mechanics, fluid dynamics, optical communications and so on. By means of the particularly nice properties of Wronskian determinant, the solutions are testified through direct substitution into the bilinear equations. Furthermore, it can be proved that the bilinear Bäcklund transformation transforms between (N − 1)- and N-soliton solutions. |
| Keywords: | Variable-coefficient nonlinear Schrö dinger equation Bilinear form Multisoliton solutions Bä cklund transformation Double Wronskian determinant |
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