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
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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.