Nonlinear wave investigation on a variable-coefficient Yu–Toda–Sasa–Fukuyama system in lattices or two-layer liquids

In this paper, we focus on a variable-coefficient Yu–Toda–Sasa–Fukuyama (vcYTSF) system, which can describe the elastic quasi-plane waves in lattices or the interface waves in two-layer liquids. Based on the generalized (G′/G)-expansion method and the bilinear method, different kinds of exact solutions of the vcYTSF system have been derived, such as lump solution, breather solution, two-wave solution with two kink waves, the interaction between lump soliton and one stripe soliton, and the interaction between one lump soliton and two soliton. These solutions can be utilized to show the propagation characteristics of some nonlinear waves in lattices or two-layer liquids.