Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1900524 | Wave Motion | 2014 | 12 Pages |
•Head-on collision of solitons in coupled Korteweg–de Vries systems is characterized.•The extended Poincaré–Lighthill–Kuo method is applied.•Collision-induced phase shifts are evaluated for each propagation mode.•The governing wave equation for collision-induced pulses is derived.
The extended Poincaré–Lighthill–Kuo (PLK) method is applied to characterize head-on collisions of solitary waves in a coupled Korteweg–de Vries (KdV) system that has multiple modes supporting solitons. As a simple physically realizable system, we investigate two coupled electrical nonlinear transmission lines (NLTLs), and the proposed method successfully leads to the collision-induced phase shifts and the wave equation that governs the dynamics of the pulses generated by colliding solitary waves.