General, symmetry non-preserving and preserving multiple soliton solutions of long wave-short wave resonant models

Abstract

Abstract We present a more general long wave-short wave (LW-SW) resonant model and its associated linear spectral problem. Using suitable reduction conditions, we obtain classical, reverse space, reverse time and reverse space-time PT -symmetric (nonlocal) LW-SW resonant models. Using Darboux transformation, we calculate multiple soliton solutions of general, nonlocal and classical LW-SW resonant models in the form of quasideterminants of particular matrix solutions to the associated linear spectral problems. The quasideterminant formula allows to construct multiple soliton solutions to the nonlocal (reverse space, reverse time and reverse space-time) and classical LW-SW resonant models. We obtain an expression of one-soliton solution to the general LW-SW resonant model. Similarly, we obtain symmetry non-preserving and preserving single and double soliton solutions for reverse space nonlocal LW-SW resonant model. The quasideterminant formula also enable us to derive expressions of single and double soliton solutions for the classical LW-SW resonant model. Further we present dynamics of single and double soliton solutions of reverse space nonlocal and classical LW-SW resonant models.