Almost structure-preserving analysis for weakly linear damping nonlinear Schrödinger equation with periodic perturbation

Weipeng Hu, Zichen Deng, Tingting Yin

科研成果: 期刊稿件文章同行评审

50 引用 (Scopus)

摘要

Exploring the dynamic behaviors of the damping nonlinear Schrödinger equation (NLSE) with periodic perturbation is a challenge in the field of nonlinear science, because the numerical approaches available for damping-driven dynamic systems may exhibit the artificial dissipation in different degree. In this paper, based on the generalized multi-symplectic idea, the local energy/momentum loss expressions as well as the approximate symmetric form of the linearly damping NLSE with periodic perturbation are deduced firstly. And then, the local energy/momentum losses are separated from the simulation results of the NLSE with small linear damping rate less than the threshold to insure structure-preserving properties of the scheme. Finally, the breakup process of the multisoliton state is simulated and the bifurcation of the discrete eigenvalues of the associated Zakharov-Shabat spectral problem is obtained to investigate the variation of the velocity as well as the amplitude of the solitons during the splitting process.

源语言英语
页(从-至)298-312
页数15
期刊Communications in Nonlinear Science and Numerical Simulation
42
DOI
出版状态已出版 - 1 1月 2017

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