Four differing from each other scenarios of evolution of the plane and close to them cylindrical solitary (simple) waves are established and commented. The material of propagation of waves is assumed to be elastic, the nonlinear deformation of which is described by the five-constant Murnaghan model (potential). The initial wave profile is given by the cosinusoidal, Gauss, Whittaker, Macdonald functions. The scenarios for the cosinusoidal (harmonic) profile are used as the classical and reference one. The methods of successive approximations and restriction on the gradient of displacement are utilized. A novelty in the description of scenarios is that the first three approximations are taken into account. This changes essentially the known (based on the first two approximations) scenarios and exposes some new wave effects. The similarities and distinctions of the presented four scenarios are commented. For example, the initial stages and effect of forming the asymmetric profile are quite similar to both the asymmetric and symmetric initial profiles. But also the scenarios show the transition from the one-hump profile to the two-hump or three-hump ones. Some of the scenarios show the drift of the profile relative to the horizontal axis. A row of other features of scenarios is commented.

建立并注释了四个彼此不同的平面演化方案，并在它们附近形成了圆柱孤波（简单）。假设波的传播材料是弹性的，其非线性变形由五常数Murnaghan模型（势）描述。初始波形由余弦曲线，高斯，惠特克，麦克唐纳函数给出。余弦曲线（谐波）轮廓的方案用作经典方案和参考方案。利用了逐次逼近和位移梯度限制的方法。场景描述中的新颖之处在于考虑了前三个近似值。这本质上改变了已知（基于前两个近似）方案，并暴露了一些新的波浪效应。评论了所提出的四个方案的异同。例如，形成不对称轮廓的初始阶段和效果与不对称和对称初始轮廓都非常相似。但是，这些场景也显示了从单峰配置文件到两峰或三峰配置文件的过渡。一些方案显示了轮廓相对于水平轴的漂移。方案的其他功能行也被评论。一些方案显示了轮廓相对于水平轴的漂移。方案的其他功能行也被评论。一些方案显示了轮廓相对于水平轴的漂移。方案的其他功能行也被评论。