Periodic solitons and their interactions for a general coupled nonlinear Schrödinger system

Zhang, Lingling; Wang, Xiaomin

doi:10.1016/j.spmi.2017.03.026

Cited by 11 publications

(1 citation statement)

References 14 publications

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“…A dominant advantage is that the CNLS can depict and abstract complex physical phenomena through brief expressions in mathematics [19]. For instance, in certain physical situations, the case of nonlinear interaction of multi-component with different frequencies or polarizations and complex systems such as nonlinear optical fibers involve more than one component, can be modeled by the N-coupled NLS equations [20][21][22], it can be written as…”

Section: Introductionmentioning

confidence: 99%

Superposition solitons for the mixed 4-coupled nonlinear Schrödinger equations

Zhang,

2024

Phys. Scr.

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In this paper, the mixed 4-coupled nonlinear Schrödinger equations with different nonlinear signs are studied to derive a new type of soliton solutions called the superposition soliton solutions. By using the Hirota method, we obtain the exact one-bright-three-superposition N-soliton solutions analytically. Notably, this kind of soliton solutions have not been researched in prior literature. Under certain conditions, the general mixed (bright-dark) soliton solutions can be obtained from our results such as all bright soliton solutions. In addition, the propagation characteristics, including elastic collision, time periodicity and soliton reaction, are displayed through graphic simulation. On this basis, the influence of various parameters on the phase, direction, and amplitude of soliton propogation is concluded. Finally, the asymptotic behaviors of 2, 3-soliton solutions are analyzed in detail.

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