MSc. Thesis Defense: Abba İbrahim Ramadan
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  • MSc. Thesis Defense: Abba İbrahim Ramadan

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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, 201614:00 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