Nonlinear wave evolution equation for critical layers.
نویسندگان
چکیده
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.
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ورودعنوان ژورنال:
- Physical review. E, Statistical, nonlinear, and soft matter physics
دوره 86 4 Pt 2 شماره
صفحات -
تاریخ انتشار 2012