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Rogue Wave Solutions for Nonlinear Schrödinger Equation with Variable Coefficients in Nonlinear Optical Systems
Authors:CHEN Qi  ZHANG Wei-Guo  ZHANG Hai-Qiang  YANG Bo
Affiliation:College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China
Abstract:
In this paper, the generalized Darboux transformation is constructed to variable coefficient nonlinear Schrödinger (NLS) equation. The N-th order rogue wave solution of this variable coefficient NLS equation is obtained by determinant expression form. In particular, we present rogue waves from first to third-order through some figures and analyze their dynamics.
Keywords:rogue wave solution   variable coefficient nonlinear Schrö  dinger equation   generalized Darboux transformation  
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