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:
SURNAME : Popivanov          FIRST NAME(S): Petar

Affiliation and official address: Institute of Mathematics and Infromatics, Bulgarian Academy of Sciences,
Str. Acad.G.Bonchev, bl.8, Sofia 1113, Bulgaria

Date and place of birth: 06.04.1946, Sofia Nationality: Bulgarian

Education (degrees, dates, universities)
Mathematician, M.Sc. Sofia University, 1969
Ph.D. in Mathematics, Moscow State University, 1973
Doctor of Sciences in Mathematics, Sofia University, 1986

Career/Employment (employers, positions and dates)
Ass.Prof. in Institute of Mathematics and Informatics, Bulgarian Academy of Sciences -1973
Assoc.Prof., the same place - 1979
Full Prof., the same place-1988
Member of the Bulgarian Academy of Sciences, 2003

Specialization (specify)
(i) main field – Partial Differential Equations
(ii) other fields – Ordinary Differential Equations, Analysis
(iii) current research interest – propagation of singularities to the solutions of nonlinear hyperbolic systems, oblique derivative problem, microlocal analysis


Honours, Awards, Fellowships, Membership of Professional Societies

Member of the Union of Bulgarian Mathematicians
Member of AMS
Member of Union of Bulgarian Scientists

Publications (list selected publications on page 2 of curriculum vitae)

- Number of papers in refereed journals:117
- Number of communications to scientific meetings:30
- Number of books: 3 monographs, 2 manual books on Differential Equations