Exact analytical soliton solutions of N-component coupled nonlinear Schrödinger equations with arbitrary nonlinear parameters

2022/08/11 by N. Mao, Mao, N., L. -C. Zhao +1 · 3 citations
Physics and Astronomy · #Advanced Fiber Laser Technologies #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Pattern Formation and Solitons (nlin.PS) #Quantum Gases (cond-mat.quant-gas)

paper · pdf · doi:10.48550/arxiv.2208.05696

openalex publication_date 2022/08/11 · openalex created_date 2022/08/13 · openalex updated_date 2026/07/28

Abstract

Exact analytical soliton solutions play an important role in soliton fields. Soliton solutions were obtained with some special constraints on the nonlinear parameters in nonlinear coupled systems, but they usually do not holds in real physical systems. We successfully release all usual constrain conditions on nonlinear parameters for exact analytical vector soliton solutions in N-component coupled nonlinear Schrödinger equations. The exact soliton solutions and their existence condition are given explicitly. Applications of these results are discussed in several present experimental parameters regimes. The results would motivate experiments to observe more novel vector solitons in nonlinear optical fibers, Bose-Einstein condensates, and other nonlinear coupled systems.

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