应用平面动力系统理论,研究了ZKB方程有界行波解存在的条件.利用假设待定法给出了ZKB方程钟状孤波解和扭状孤波解的一般形式,特别给出了其衰减振荡解的近似解及其误差估计.
The theory of planar dynamical systems was applied to study the existence conditions of bounded traveling wave solutions of ZKB(zakharov kuznetsov burgers) equation. General forms of the bell solitary wave solution and kink solitary wave solution were obtained by using undetermined coefficients method. The approximate damped oscillatory solution was given together with its error estimate.