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Nonlocal models for nonlinear, dispersive waves. (English) Zbl 0699.35227
The authors discuss nonlocal models for nonlinear dispersive waves. It is shown that the initial value problem for these equations is globally well posed in the classical sense. The result of the problem is stated for specific equations but the techniques utilized are shown to be used for a wide range of problems. The paper is of theoretical nature; it requires numerical experiments for demonstration.
Reviewer: P.K.Mahanti
MSC:
35Q99PDE of mathematical physics and other areas
76B55Internal waves
76B15Water waves, gravity waves; dispersion and scattering, nonlinear interaction