Burgers-type equations are considered as the models of certain phenomena in plasma astrophysics, ocean dynamics, atmospheric science and so on. In this paper, a Sharma-Tasso-Olver-Burgers equation for the nonlinear dispersive waves is studied. Based on the Painlevé-Bäcklund equations, one auto-Bäcklund transformation and two hetero-Bäcklund transformations are derived. Motivated by the Burgers hierarchy, a Lax pair is given. Via two hetero-Bäcklund transformations with different constant seed solutions, we find some multiple-kink solutions, complex periodic solutions, hybrid solutions composed of the lump, periodic and multiple kink waves. Then we discuss the influence of the coefficients of the above equation on such solutions. Via the auto-Bäcklund transformation with the nontrivial seed solutions, we obtain certain lump-type solutions, kink-type solutions and recurrence relation of the above equation.

Burgers 型方程被认为是等离子体天体物理学、海洋动力学、大气科学等中某些现象的模型。本文研究了非线性色散波的Sharma-Tasso-Olver-Burgers方程。基于Painlevé-Bäcklund 方程，推导出了一个自Bäcklund 变换和两个异质Bäcklund 变换。受 Burgers 层次结构的启发，给出了松散对。通过具有不同常数种子解的两个异-Bäcklund 变换，我们找到了一些多扭结解、复周期解、由块波、周期波和多扭结波组成的混合解。然后我们讨论上述方程的系数对此类解的影响。通过非平凡种子解的 auto-Bäcklund 变换，我们得到某些块型解，