Bifurcations in Steady State Solutions of a Class of Nonlinear Dispersive Wave Equation
Document Type
Article
Publication Date
2012
Publication Source
Nonlinear Studies, The International Journal
Abstract
We consider the damped externally excited KdV and BBM equations and use an asymptotic perturbation method to analyze the stability of solutions. We consider the primary resonance by defining the detuning parameter. External-excitation and frequency-response curves are shown to exhibit jump and hysteresis phenomena (dis-continuous transitions between two stable solutions) for both KdV and BBM equations.
Inclusive pages
215-224
ISBN/ISSN
1359-8678
Volume
19
Issue
2
Peer Reviewed
yes
eCommons Citation
Usman, Muhammad and Eloe, Paul W., "Bifurcations in Steady State Solutions of a Class of Nonlinear Dispersive Wave Equation" (2012). Mathematics Faculty Publications. 8.
https://ecommons.udayton.edu/mth_fac_pub/8
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