Nonlinear wave investigation for the generalized variable-coefficient Calogero–Bogoyavlenskii–Schiff system

Abstract

This paper extends the classical Calogero–Bogoyavlenskii–Schiff system into a more generalized model by introducing two additional linear terms and incorporating time-dependent coefficients. The bilinear form is given out by the Hirota bilinear method, and abundant analytic solutions are obtained, including the soliton, lump, and breather solutions. Furthermore, the propagation characteristics of these solutions and the interaction between lump soliton and one stripe soliton are discussed.