Abstract/Details

Traveling pulses for the nonlocal and lattice Klein -Gordon equations


2006 2006

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Abstract (summary)

The thesis includes two parts. In the first part, we study a nonlinear nonlocal Klein-Gordon equation on the whole real line. We first prove the existence of traveling pulses and then study the spatial asymptotic properties of these pulses and their instability. In the second part, we study a nonlinear lattice Klein-Gordon equation, which is actually a system of infinitely many ordinary differential equations. We show the existence and determine the spatial asymptotic properties of the traveling pulses using a similar method to that in the first part and then study the instability by numerical simulations. For both the nonlinear nonlocal and nonlinear lattice Klein-Gordon equations we illustrate that they share some similar properties with the limit equation, the classical Klein-Gordon equation, as a parameter ϵ approaches 0.

Indexing (details)


Subject
Mathematics
Classification
0405: Mathematics
Identifier / keyword
Pure sciences; Klein-Gordon equations; Traveling pulses
Title
Traveling pulses for the nonlocal and lattice Klein -Gordon equations
Author
Zhang, Chunlei
Number of pages
49
Publication year
2006
Degree date
2006
School code
0128
Source
DAI-B 67/10, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
9780542910418
Advisor
Bates, Peter W.
University/institution
Michigan State University
University location
United States -- Michigan
Degree
Ph.D.
Source type
Dissertations & Theses
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
3236466
ProQuest document ID
305303289
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
http://search.proquest.com/docview/305303289
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