Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Pliska Studia Mathematica Bulgarica, Vol. 23, No 1, (2014), 159p-174p
In this paper we present equations of mathematical physics which have applications in studying tsunami waves. First we investigate an interesting system of non-linear PDE - the viscoelastic generalization of the Burger’s equation. In the above mentioned system we are looking for travelling wave solutions and we are studying their profiles. Then we derive travelling wave solutions of the viscoelastic Burgers’ equation. Cellular Nonlinear Networks (CNN) model of this equation is constructed. Using its computer realization new wave profiles of the travelling wave solutions are obtained. 2000 Mathematics Subject Classification: 76B15, 35Q80, 92B20.