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Exact traveling wave solutions and bifurcations in a nonlinear elastic rod equation

Exact traveling wave solutions and bifurcations in a nonlinear elastic rod equation The exact parametric representations of the traveling wave solutions for a nonlinear elastic rod equation are considered. By using the method of planar dynamical systems, in different parameter regions, the phase portraits of the corresponding traveling wave system are given. Exact explicit kink wave solutions, periodic wave solutions and some unbounded wave solutions are obtained. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Exact traveling wave solutions and bifurcations in a nonlinear elastic rod equation

Acta Mathematicae Applicatae Sinica , Volume 26 (2) – Mar 18, 2010

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Publisher
Springer Journals
Copyright
Copyright © 2010 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Theoretical, Mathematical and Computational Physics; Math Applications in Computer Science; Applications of Mathematics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-008-8139-1
Publisher site
See Article on Publisher Site

Abstract

The exact parametric representations of the traveling wave solutions for a nonlinear elastic rod equation are considered. By using the method of planar dynamical systems, in different parameter regions, the phase portraits of the corresponding traveling wave system are given. Exact explicit kink wave solutions, periodic wave solutions and some unbounded wave solutions are obtained.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Mar 18, 2010

References