Generalized MSTB models: Structure and kink varieties

PHYSICA D-NONLINEAR PHENOMENA

卷:237

Article

Izquierdo, A. Alonso^1,2  Guilarte, J. Mateos^2,3 

[1] Univ Salamanca, Dept Matemat Aplicada, Salamanca 37007, Spain

[2] Univ Salamanca, IUFFyM, Salamanca 37007, Spain

[3] Univ Salamanca, Dept Fis Fundamental, Salamanca 37007, Spain

关键词: Kinks;    Solitary waves;    Liouville mechanical systems;    MSTB scalar field model;   

DOI  :  10.1016/j.physd.2008.07.020

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free