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]
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.
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