2025/04/30 by Snehalata Nasipuri, Prasanta Chatterjee, Nasipuri, Snehalata +1 · 1 voice
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Pattern Formation and Solitons (nlin.PS) #math-ph #nlin.PS
paper · pdf · doi:10.48550/arxiv.2504.21506
openalex publication_date 2025/04/30 · arxiv published 2025/04/30 · arxiv updated 2025/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate the interaction characteristics of nonlinear coherent structures in the couple Boussinesq (CB) system using the Hirota bilinear approach. First, we derive the lump solutions using a positive quadratic polynomial within the Hirota perturbation technique. Next, We study the explicit interactions between lumps and one or two-kink waves, and observe double lump patterns. Furthermore, we discover the interactions of breathers, revealing a diffusion-like behavior. We notice that breather waves can interact with periodic, kink, and bright solitons for specific parameter sets in the CB system. Interactions between two chains of double breathers are also found. We analyze our results using a combination of symbolic computations and graphical representations, providing a deeper understanding of their behavior. This study reveals previously unreported nonlinear dynamics in the CB system.