Generalized Darboux transformation and N-th order rogue wave solution of a general coupled nonlinear Schrödinger equations
arXiv:1406.1890 · doi:10.1016/j.cnsns.2014.06.001
Abstract
We construct a generalized Darboux transformation (GDT) of a general coupled nonlinear Schrödinger (GCNLS) system. Using GDT method we derive a recursive formula and present determinant representations for N-th order rogue wave solution of this system. Using these representations we derive first, second and third order rogue wave solutions with certain free parameters. By varying these free parameters we demonstrate the formation of triplet, triangle and hexagonal patterns of rogue waves.
arXiv comment27 pages, 7 figures and Accepted for Publication in Commun. Nonlinear Sci. Numer. Simul
References in corpus (11)
- Nonlinear Schrödinger Equation: Generalized Darboux Transformation and Rogue Wave Solutions
- Deterministic Vector Freak Waves
- A generating mechanism for higher order rogue waves
- Capillary rogue waves
- Dynamics of rogue waves in the Davey-Stewartson II equation
- High Order Solutions and Generalized Darboux Transformations of Derivative Schrödinger Equation
- High-order Rogue Waves in Vector Nonlinear Schrödinger Equations
- Bright-dark solitons and their collisions in mixed N-coupled nonlinear Schrödinger equations
- Three-dimensional rogue waves in non-stationary parabolic potentials
- Trajectory Characters of Rogue Waves
- Dark solitons, Breathers and Rogue Wave Solutions of the Coupled Generalized Nonlinear Schrödinger Equations
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