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Multi-elliptic-dark soliton solutions of the defocusing nonlinear Schrodinger equation

Ling, Liming; Sun, Xuan*
Science Citation Index Expanded
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摘要

We derive multi-elliptic-dark soliton solutions for the defocusing nonlinear Schrodinger (NLS) equation by using the Darboux-Backlund transformation. Additionally, we investigate the asymptotic dynamic behaviors of these solutions along the trajectories of dark solitons, which reveals that the N-elliptic-dark soliton solution can be decomposed into N single-elliptic-dark soliton solutions, as t -> +/-infinity.

关键词

Multi-elliptic-dark solitons Defocusing NLS equation Theta functions Darboux-Backlund transformation