Investigating overtaking collisions of solitary waves in the Schamel equation

This article presents a numerical investigation of overtaking collisions between two solitary waves in the context Schamel equation. Our study reveals different regimes characterized by behavior wave interactions. In certain regimes, maintain well-separated crests consistently over time, while other number local maxima undergoes variations following patterns 2→1→2→1→2 or 2→1→2. These findings demonstrate that geometric Lax-categorization observed Korteweg–de Vries equation (KdV) for two-soliton remains applicable to However, contrast KdV, we an algebraic based on ratio initial amplitudes is not feasible Additionally, show statistical moments two-solitary are qualitatively similar KdV and phase shifts after soliton interactions close ones integrable modified models.