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Asymptotic Stability of Solitons for the Generalized Chen-Liu-Lee Equation

  • Yin Li [1] ; Ruiying Wei [1] ; Zheng-an Yao [2]
    1. [1] Shaoguan University

      Shaoguan University

      China

    2. [2] Sun Yat-sen University

      Sun Yat-sen University

      China

  • Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 25, Nº 5, 2026
  • Idioma: inglés
  • Enlaces
  • Resumen

    • This paper systematically investigates multi-soliton stability for a generalized Chen- Liu-Lee (CLL) equation incorporating third-order dispersion, nonlocal nonlinearity, and variable coefficients. Using the inverse scattering transform, infinite conservation laws are derived, and analytic single- and multi-soliton solutions are constructed.

      Based on the constrained variational principle and spectral analysis, a criterion for dynamical stability of multi-solitons is established, and orbital stability of single solitons is proved in all higher-order Sobolev spaces. Numerical experiments using the split-step spectralmethod validate the theoretical results. The stability analysis method is extended to other integrable systems.

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