28-11-2012, 03:01 PM
Travelling waves of the form of compactons, peakons, cuspons and their CNN realization
Abstract:
This paper deals with the construction of travelling waves of some equations of mathematical physics as generalized
Camassa-Holm equation, generalized KdV equation and several others. We construct compactly supported solutions
as well as solutions forming singularities of the type peak (angle) and cusp. To do this tools of classical analysis and
ODE are used. The CNN realization enables us to obtain numerical results and computer visualization of the
corresponding solutions.
Brief Biography of the Speaker: Popivanov Petar is a Prof. in Institute of Mathematics and Informatics,
Bulgarian Academy of Sciences. His main specialization field is Partial Differential Equations, Ordinary
Differential Equations and Analysis. He is currently working on propagation of singularities to the solutions of
nonlinear hyperbolic systems, oblique derivative problem, microlocal analysis. He has 117 papers refereed in
journals, 3 monographs, and 2 manual books on Differential Equations. He participated in 30 scientific meetings.