Existence of traveling waves solution for certain nonlocal wave equations

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

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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
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: IC-Cataloging
Date Deposited: 08 Nov 2017 10:46
Last Modified: 26 Apr 2022 10:13
URI: https://research.sabanciuniv.edu/id/eprint/34115

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