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

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

Phys Rev E

School of Physics, Northwest University, Xi'an, 710127, China; Peng Huanwu Center for Fundamental Theory, Xi'an 710127, China; and Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xi'an 710127, China.

Published: December 2022

AI Article Synopsis

Article 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 hold 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 parameter 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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Source
http://dx.doi.org/10.1103/PhysRevE.106.064206DOI Listing

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