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arXiv · 1407.5194

Darboux transformation and classification of solution for mixed coupled nonlinear Schr\"odinger equations

Liming Ling·Li-Chen Zhao·Boling Guo
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Abstract

We derive generalized nonlinear wave solution formula for mixed coupled nonlinear Sch\"odinger equations (mCNLSE) by performing the unified Darboux transformation. We give the classification of the general soliton formula on the nonzero background based on the dynamical behavior. Especially, the conditions for breather, dark soliton and rogue wave solution for mCNLSE are given in detail. Moreover, we analysis the interaction between dark-dark soliton solution and breather solution. These results would be helpful for nonlinear localized wave excitations and applications in vector nonlinear systems.

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Liming Ling, Li-Chen Zhao, Boling Guo. 2014-07-19. Darboux transformation and classification of solution for mixed coupled nonlinear Schr\"odinger equations. https://doi.org/10.1016/j.cnsns.2015.08.023

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