Triple Wronskian solutions of the coupled derivative nonlinear Schrödinger equations in optical fibers |
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| Authors: | Min LiJing-Hua Xiao Wen-Jun LiuYan Jiang Bo Tian |
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| Institution: | State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing 100876, China School of Science, P.O. Box 122, Beijing University of Posts and Telecommunications, Beijing 100876, China |
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| Abstract: | A type of the coupled derivative nonlinear Schrödinger (CDNLS) equations are studied by means of symbolic computation, which can describe the wave propagation in birefringent optical fibers. Soliton solutions in the triple Wronskian form of the CDNLS equations are obtained. Elastic and inelastic collisions are both presented under some parametric conditions. In addition, generalized triple Wronskian solutions of a set of the coupled general derivative nonlinear Schrödinger (CGDNLS) equations are derived. Triple Wronskian identities are given to prove such solutions, which may also be used for other coupled nonlinear equations. Rational solutions of the CGDNLS equations are also obtained. |
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| Keywords: | Coupled derivative nonlinear Schrö dinger equations Triple Wronskian solutions Elastic and inelastic collisions Optical fibers Hirota method Symbolic computation |
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