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Z. Naturforsch. 67a, 483 – 490 (2012)
doi:10.5560/ZNA.2012-0045
Three-Dimensional Bright–Dark Soliton, Bright Soliton Pairs, and Rogue Wave of Coupled Nonlinear Schrödinger Equation with Time–Space Modulation
Junchao Chen and Biao Li
Nonlinear Science Center, Ningbo University, Ningbo 315211, P. R. China
Received December 2, 2011 / revised May 4, 2012 / published online August 2, 2012
Reprint requests to: B. L.; E-mail: biaolee2000@yahoo.com.cn
We systematically provide a similarity transformation reducing the (3 + 1)-dimensional inhomogeneous coupled nonlinear Schrödinger (CNLS) equation with variable coefficients and parabolic potential to the (1 + 1)-dimensional coupled nonlinear Schrödinger equation with constant coefficients. Based on the similarity transformation, we discuss the dynamics of the propagation of the three-dimensional bright–dark soliton, the interaction between two bright solitons, and the feature of the three-dimensional rogue wave with different parameters. The obtained results may raise the possibility of relative experiments and potential applications.
Key words: Coupled NLS Equation; Bright–Dark Soliton; Bright Soliton Pairs; Rogue Wave.
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