scholarly journals Analytical three-dimensional bright solitons and soliton pairs in Bose-Einstein condensates with time-space modulation

2009 ◽  
Vol 80 (6) ◽  
Author(s):  
Zhenya Yan ◽  
Chao Hang
Keyword(s):  
Three Dimensional ◽  
Bright Solitons ◽  
Time Space ◽  
Bose Einstein ◽  
Space Modulation

Three-Dimensional Bright–Dark Soliton, Bright Soliton Pairs, and Rogue Wave of Coupled Nonlinear Schr¨odinger Equation with Time–Space Modulation

2012 ◽  
Vol 67 (8-9) ◽  
pp. 483-490 ◽  
Author(s):  
Junchao Chen ◽  
Biao Li
Keyword(s):  
Similarity Transformation ◽  
Rogue Wave ◽  
Three Dimensional ◽  
Dark Soliton ◽  
Variable Coefficients ◽  
Nonlinear Schrödinger ◽  
Time Space ◽  
Potential Applications ◽  
Constant Coefficients ◽  
Space Modulation

We systematically provide a similarity transformation reducing the (3+1)-dimensional inhomogeneous coupled nonlinear Schrodinger (CNLS) equation with variable coefficients and parabolic potential to the (1+1)-dimensional coupled nonlinear Schrodinger 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.

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