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Analytical Insights into a Generalized Semidiscrete System with Time-Varying Coefficients: Derivation, Exact Solutions, and Nonlinear Soliton Dynamics

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  • Sheng Zhang
  • Sen Zhao
  • Bo Xu

Abstract

In this paper, a new generalized semidiscrete integrable system with time-varying coefficients is analytically studied. Firstly, the generalized semidiscrete system is derived from a semidiscrete matrix spectral problem by embedding finite time-varying coefficient functions. Secondly, exact and explicit N -soliton solutions of the semidiscrete system are obtained by using the inverse scattering analysis. Finally, three special cases when of the obtained N -soliton solutions are simulated by selecting some appropriate coefficient functions. It is shown that the time-varying coefficient functions affect the spatiotemporal structures and the propagation velocities of the obtained semidiscrete one-soliton solutions, two-soliton solutions, and three-soliton solutions.

Suggested Citation

  • Sheng Zhang & Sen Zhao & Bo Xu, 2020. "Analytical Insights into a Generalized Semidiscrete System with Time-Varying Coefficients: Derivation, Exact Solutions, and Nonlinear Soliton Dynamics," Complexity, Hindawi, vol. 2020, pages 1-15, February.
    • Handle: RePEc:hin:complx:1543503
    DOI: 10.1155/2020/1543503
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