Solitons and soliton molecules in two nonlocal Alice–Bob Sawada–Kotera systems
Zhao Qi-Liang, Lou Sen‐Yue, Man Jia
Abstract
Abstract Two nonlocal Alice–Bob Sawada–Kotera (ABSK) systems, accompanied by the parity and time reversal invariance are studied. The Lax pairs of two systems are uniformly written out in matrix form. The periodic waves, multiple solitons, and soliton molecules of the ABSK systems are obtained via the bilinear method and the velocity resonant mechanism. Though the interactions among solitons are elastic, the interactions between soliton and soliton molecules are not elastic. In particular, the shapes of the soliton molecules are changed explicitly after interactions.
Topics & Concepts
Alice (programming language)PhysicsSolitonMathematical physicsQuantum mechanicsComputer scienceNonlinear systemProgramming languageNonlinear Waves and SolitonsNonlinear Photonic SystemsAlgebraic structures and combinatorial models