Nonautonomous solitons, breathers and rogue waves for the Gross-Pitaevskii equation in the Bose-Einstein condensate
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- 作者：Chuan-Qi Su ; Yi-Tian Gao ; gaoyt163@163.com" class="auth_mail" title="E-mail the corresponding author ; Long Xue ; Qi-Min Wang
- 关键词：Gross&ndash ; Pitaevskii equation ; Nonautonomous solitons ; Breathers ; Rogue waves ; Darboux transformation ; Bose&ndash ; Einstein condensates ; Conservation laws
- 刊名：Communications in Nonlinear Science and Numerical Simulation
- 出版年：2016
- 出版时间：July 2016
- 年：2016
- 卷：36
- 期：Complete
- 页码：457-467
- 全文大小：2576 K
文摘
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Lax pair, conservation laws and Darboux transformation have been constructed.
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Nonautonomous solitons and breathers have been derived with the help of the Darboux transformation.
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First- and second-order nonautonomous rogue waves have been constructed via the generalized Darboux transformation.
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Influences of the nonlinear parameter, linear external potential parameter, harmonic external potential parameter and the spectral parameter on the propagation and interaction of the nonautonomous solitons, breathers and rogue waves have been discussed.