Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 17, Issue 7, Pages 2845-2853Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2011.11.020
Keywords
Coupled derivative nonlinear Schrodinger equations; Triple Wronskian solutions; Elastic and inelastic collisions; Optical fibers; Hirota method; Symbolic computation
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Funding
- National Natural Science Foundation of China [60772023]
- Fundamental Research Funds for the Central Universities of China [2011BUPTYB02]
- National Basic Research Program of China (973 Program) [2010CB923200]
- Specialized Research Fund for the Doctoral Program of Higher Education [200800130006]
- Chinese Ministry of Education
- Beijing University of Posts and Telecommunications Excellent Ph.D. Students Foundation [CX201111]
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A type of the coupled derivative nonlinear Schrodinger (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 Schrodinger (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. (C) 2011 Elsevier B.V. All rights reserved.
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