Calogero-Bogoyavlenskii-Schiff-type (CBS-type) equations have been used to describe certain nonlinear phenomena in fluids and plasmas. Under investigation in this paper is a combined CBS-type equation. Lax pairs in the differential and matrix forms are derived respectively. Infinite conservation laws, which are different from those in the existing literatures, and $n$-fold Darboux transformation are constructed through the matrix-form Lax pair, where $n$ is a positive integer. Bilinear forms are constructed. Parallel solitons can be derived from the bilinear forms, which are caused by a constraint in the linearization process. Waveforms for the parallel solitons have the no superposition, nonlinear superposition and linear superposition forms. Bell-to-anti-bell-shaped solitons and oblique solitonic interactions are discovered via the $n$-fold Darboux transformation. Each bell-shaped asymptotic soliton of the bell-to-anti-bell-shaped soliton evolves into the anti-bell-shaped one.

Calogero-Bogoyavlenskii-Schiff型（CBS型）方程已用于描述流体和等离子体中的某些非线性现象。本文正在研究的是一个组合的CBS型方程。分别导出差分形式和矩阵形式的Lax对。与现有文献不同的无限守恒定律，以及$ñ$折叠式Darboux变换是通过矩阵形式的Lax对构造的，其中 $ñ$是一个正整数。构造双线性形式。可以从双线性形式导出并行孤子，这是由线性化过程中的约束引起的。平行孤子的波形具有无叠加形式，非线性叠加形式和线性叠加形式。钟形到反钟形的孤子和倾斜的孤子相互作用是通过$ñ$倍的Darboux变换。钟形到反钟形孤子的每个钟形渐近孤子都会演变成反钟形孤子。