109 citations · 383 across the 12 of their papers we have counts for
4 papers · 1 filter
Kink-Antikink Interaction Forces and Bound States in a Model with Quadratic and Quartic dispersion
G. A. Tsolias, Robert J. Decker, A. Demirkaya +2
We consider the interaction of solitary waves in a model involving the well-known Klein-Gordon theory, but now bearing both Laplacian and biharmonic terms with different pref…
Kink-Antikink Interaction Forces and Bound States in a Biharmonic Model
Robert J. Decker, A. Demirkaya, N. S. Manton +1
We consider the interaction of solitons in a biharmonic, beam model analogue of the well-studied Klein-Gordon theory. Specifically, we calculate the force between a well sepa…
Kink-Antikink Collisions and Multi-Bounce Resonance Windows in Higher-Order Field Theories
Ivan C. Christov, Robert J. Decker, A. Demirkaya +3
We study collisions of coherent structures in higher-order field-theoretic models, such as the , and ones. The main distinguishing feature, of the example mo…
Kink Dynamics in a Nonlinear Beam Model
Robert J. Decker, Aslihan Demirkaya, Panayotis G. Kevrekidis +3
In this paper, we study the single kink and the kink-antikink collisions of a nonlinear beam equation bearing a fourth-derivative term. We numerically explore some of the key chara…