EXISTENCE OF TRAVELLING WAVES SOLUTION FOR CERTAIN NON LOCAL WAVE EQUATIONS
ABBA IBRAHIM RAMADAN
Mathematics, Msc Thesis, 2016
Thesis Jury
Prof. Dr. Albert Erkip (Thesis Advisor),
Assoc. Prof. Nihat Gökhan Göğüş
Assoc. Prof. Sevdzhan Hakkaev,
Date & Time:8th August, 2016 – 14:00 PM
Place: FensG029.
Keywords :Travelling waves, Bell-shaped functions, Non-local wave equations, Euler-Lagrange equation, calculus of variation.
Abstract
In this thesis we investigate the existence of travelling waves solution for certain non local wave equations. Stefanov and Kevrekidis in their series of publications use the bell-shapedness property of the triangular kernel to study the existence and nature of a travelling wave solution in generalized lattices. In this thesis, we first studied their work, and then generalized the idea to certain class of kernels that satisfy some conditions