标题： 关于粘性不可压缩 Navier-Stokes 微分方程的 N 孤子解的一点说明 显示英文标题

标题： A note on N-soliton solutions for the viscid incompressible Navier-Stokes differential equation

摘要： 不可压缩粘性纳维-斯托克斯微分方程的重复卷曲导致更高阶的扩散方程。 将此方程代入纳维-斯托克斯微分方程，将后者转换为具有魏尔斯特拉斯p函数作为孤子解的科特韦格-德弗里斯-伯格斯方程。 然而，所研究变量的更高阶导数产生所谓的N孤子解，该解与卡多姆采夫-佩特维亚什维利方程的N孤子解相当。 显示英文摘要

摘要： Repetitive curling of the incompressible viscid Navier-Stokes differential equation leads to a higher-order diffusion equation. Substituting this equation into the Navier-Stokes differential equation transposes the latter into the Korteweg-de Vries-Burgers equation with the Weierstrass p-function as the soliton solution. However, a higher-order derivative of the studied variable produces the so-called N-soliton solution, which is comparable to the N-soliton solution of the Kadomtsev-Petviashvili equation.