Generalized gauge transformation approach to construct dark solitons of coupled nonlinear Schrodinger (NLS) type equations

P. S. VINAYAGAM; R. RADHA; VIVEK M. VYAS; K. PORSEZIAN

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Generalized gauge transformation approach to construct dark solitons of coupled nonlinear Schrodinger (NLS) type equations

机译：广义规范变换方法构造耦合非线性Schrodinger（NLS）型方程的暗孤子

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We harnesses the freedom in the celebrated Gauge transformationapproach to generate dark solitons of coupled nonlinear Schr?dinger (NLS) type equations. The new approach which is purely algebraic could prove to be very useful, particularly in the construction of vector dark solitons in the fields of nonlinear optics,plasma physics and Bose-Einstein condensates. We have employed this algebraic method to coupled Gross-Pitaevskii (GP) and NLS equations and obtained dark solitons.

机译：我们利用著名的Gauge变换方法中的自由来生成耦合非线性Schrdinger（NLS）型方程的暗孤子。纯代数的新方法可能被证明是非常有用的，特别是在非线性光学，等离子体物理学和玻色-爱因斯坦凝聚体领域中构造矢量暗孤子时。我们已经将此代数方法用于耦合Gross-Pitaevskii（GP）和NLS方程，并获得了暗孤子。

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《Romanian reports in physics》 |2015年第3期|共15页
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P. S. VINAYAGAM; R. RADHA; VIVEK M. VYAS; K. PORSEZIAN;
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1. GENERALIZED GAUGE TRANSFORMATION APPROACH TO CONSTRUCT DARK SOLITONS OF COUPLED NONLINEAR SCHROEDINGER (NLS) TYPE EQUATIONS [J] . P. S. VINAYAGAM, R. RADHA, VIVEK M. VYAS, Romanian reports in physics . 2015,第3期

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2. N-bright-bright and N-dark-dark solitons of the coupled generalized nonlinear Schrodinger equations [J] . Priya N. Vishnu, Senthilvelan M. Communications in Nonlinear Science and Numerical Simulation . 2016,第Jula期

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Generalized gauge transformation approach to construct dark solitons of coupled nonlinear Schrodinger (NLS) type equations

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