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

Generalized gauge transformation approach to construct dark solitons of coupled nonlinear Schrodinger type equations
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发表时间：
2015-03
期刊：
arXiv: Exactly Solvable and Integrable Systems
影响因子：
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通讯作者：
P. Vinayagam;R. Radha;V. Vyas;K. Porsezian
P. Vinayagam;R. Radha;V. Vyas;K. Porsezian
中科院分区：
其他
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作者：
P. Vinayagam;R. Radha;V. Vyas;K. Porsezian

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我们利用著名规范变换方法中的自由度来生成耦合非线性Schr\ odinger （NLS）型方程的暗孤子。这种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、等离子体物理和玻色-爱因斯坦凝聚领域的矢量暗孤子的构造中。我们利用这种代数方法对Gross- Pitaevskii （GP）和NLS方程进行了耦合，得到了暗孤子。
We harness the freedom in the celebrated gauge transformation approach to generate dark solitons of coupled nonlinear Schr\"odinger (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.