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Existence of traveling waves solution for certain nonlocal wave equations

Ramadan, Abba Ibrahim (2016) Existence of traveling waves solution for certain nonlocal wave equations. [Thesis]

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Official URL: http://risc01.sabanciuniv.edu/record=b1640313 (Table of Contents)

Abstract

In this thesis we investigate the existence of traveling waves solutions for nonlocal wave equations determined by a kernel function. In a series of publications Stefanov and Kevrekidis used the bell-shapedness property of the triangular kernel to study the existence and nature of a traveling wave solution in generalized lattices. In this thesis, we studied their work, and generalized the idea to a certain class of kernels that satisfy some conditions.

Item Type:Thesis
Uncontrolled Keywords:Traveling waves. -- Bell-shaped functions. -- Nonlocal wave equations. -- Euler-lagrange equation. -- Calculus of variations. -- Gezen dalgalar. -- Çan şekilli fonksyonlar. -- Yerel olmayan dalga denklemleri. -- Euler-Lagrange denklemi. -- Varyasyonlar hesabı.
Subjects:Q Science > QA Mathematics
ID Code:34115
Deposited By:IC-Cataloging
Deposited On:08 Nov 2017 10:46
Last Modified:08 Nov 2017 10:46

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