TY - JOUR TI - Derivation and soliton dynamics of a new non-isospectral and variable-coefficient system AU - Xu Bo AU - Zhang Sheng JN - Thermal Science PY - 2019 VL - 23 IS - 13 SP - 639 EP - 646 PT - Article AB - Under investigation in this paper is a new and more general non-isospectral and variable-coefficient non-linear integrodifferential system. Such a system is Lax integrable because of its derivation from the compatibility condition of a generalized linear non-isospectral problem and its accompanied time evolution equation which is generalized in this paper by embedding four arbitrary smooth enough functions. Soliton solutions of the derived system are obtained in the framework of the inverse scattering transform method with a time-varying spectral parameter. It is graphically shown the dynamical evolutions of the obtained soliton solutions possess time-varying amplitudes and that the inelastic collisions can happen between two-soliton solutions.