Existence of periodic traveling wave solutions to the generalized forced Boussinesq equation

The generalized forced Boussinesq equation, utt−uxx+[f(u)]xx+uxxxx=h0, and its periodic traveling wave solutions are considered. Using the transform z=x−ωt, the equation is converted to a nonlinear ordinary differential equation with periodic boundary conditions. An equivalent relation between the o...

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Bibliographic Details
Main Authors: Kenneth L. Jones, Yunkai Chen
Format: Article
Language:English
Published: Hindawi Limited 1999-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171299226439