Journal
PHYSICA D-NONLINEAR PHENOMENA
Volume 237, Issue 24, Pages 3263-3291Publisher
ELSEVIER
DOI: 10.1016/j.physd.2008.07.020
Keywords
Kinks; Solitary waves; Liouville mechanical systems; MSTB scalar field model
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In this paper, we describe the structure of a class of two-component scalar field models in a (1 + 1) Minkowskian space-time which generalize the well-known Montonen-Sarker-Trullinger-Bishop - hence MSTB-model. This class includes all the field models whose static field equations are equivalent to the Newton equations of two-dimensional type I Liouville mechanical systems, with a discrete set of instability points. We offer a systematic procedure to characterize these models and to identify the solitary wave or kink solutions as homoclinic or heteroclinic trajectories in the analogous mechanical system. This procedure is applied to a one-parametric family of generalized MSTB models with a degree-eight polynomial as potential energy density. (C) 2008 Elsevier B.V. All rights reserved.
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