Nonlinear wave evolution equation for critical layers

作者:Caillol P*; Grimshaw R
来源:Physical Review E, 2012, 86(4): 046311.
DOI:10.1103/PhysRevE.86.046311

摘要

Recent studies of the evolution of weakly nonlinear long waves in shear flows have revealed that when the wave field contains a critical layer, a new nonlinear wave equation is needed to describe the wave evolution. This equation is of the same type as the well-known Korteweg-de Vries equation but has a more complicated nonlinear structure. Our main interest is in the steady solitary wave solutions when a nonlinear transformation converts the equation to a form equivalent to a steady Korteweg-de Vries equation. This enables the explicit construction of the steady solitary wave solutions.

  • 出版日期2012-10-12