Changing shapes: adiabatic dynamics of composite solitary waves

Abstract

We discuss the solitary wave solutions of a particular two-component scalar field model in two-dimensional Minkowski space. These solitary waves involve one, two or four lumps of energy. The adiabatic motion of these composite non-linear non-dispersive waves points to variations in shape.

arXiv comment21 pages, 15 figures. To appear in Physica D: Nonlinear Phenomena

References in corpus (5)

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• Soliton Stability in Systems of Two Real Scalar Fields
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• Construction of topological defect networks with complex scalar fields
• Generalized MSTB Models: Structure and kink varieties
• Composite solitary waves in three-component scalar field theory: II. Three-body low-energy scattering
• Geometrically constrained multifield models with BNRT solutions
• One-dimensional solitary waves in singular deformations of SO(2) invariant two-component scalar field theory models
• Extended solutions via the trial-orbit method for two-field models
• Composite solitary waves in three-component scalar field theory: I. The kink variety