Factorization of damped wave equations with cubic nonlinearities

Details Factorization of damped wave equations with cubic nonlinearities Factorization of damped wave equations with cubic nonlinearities

2004-03-12

arxiv.org/abs/math-ph/0403022v1

Physics

Mathematical Physics

3 pages, 2 figures

Scientific paper

The recent factorization scheme that we introduced for nonlinear polynomial
ODEs in math-ph/0401040 is applied to the interesting case of damped wave
equations with cubic nonlinearities. Traveling kink solutions are possible in
the plane defined by the kink velocity versus the damping coefficient only
along hyperbolas that are plotted herein

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