The perturbed Boussinesq equation and the KdV-Caudrey-Dodd-Gibbon equation describe the characteristics of longitudinal waves in bars, long water waves, plasma waves, quantum mechanics, acoustic waves, nonlinear optics etc. Thus, the mentioned equations are clearly important in their own right. In this article, the modified auxiliary equation technique has been put in use in order to ascertain exact soliton solutions to the stated nonlinear evolution equations (NLEEs). We determine adequate soliton solutions, explicitly, bell-shaped soliton, kink-soliton, periodic-wave, singular-kink, compacton-soliton and other types. These solutions might play an important role in uncovering the underlying context of the physical incidents. It is noteworthy that the executed method is skilled and effective to examine NLEEs, compatible with computer algebra and provides wide-ranging wave solutions. Thus, the study of exact solutions to other NLEEs through the modified auxiliary equation method is prospective and deserves further research.

扰动的Boussinesq方程和KdV-Caudrey-Dodd-Gibbon方程描述了条形纵波，长水波，等离子波，量子力学，声波，非线性光学等的特征。因此，上述方程在它们中显然很重要自己的权利。在本文中，已使用改进的辅助方程技术来确定所述非线性演化方程（NLEE）的精确孤子解。我们确定适当的孤子解，明确地，钟形孤子，扭结孤子，周期波，奇异扭结，compacton-孤子和其他类型。这些解决方案在揭示物理事件的潜在背景方面可能发挥重要作用。值得注意的是，所执行的方法对于检查NLEE是熟练且有效的，与计算机代数兼容，并提供广泛的波动解决方案。因此，通过改进的辅助方程法研究其他NLEE的精确解是有前途的，值得进一步研究。