Topological Defects and the Trial Orbit Method

Abstract

We deal with the presence of topological defects in models for two real scalar fields. We comment on defects hosting topological defects, and we search for explicit defect solutions using the trial orbit method. As we know, under certain circumstances the second order equations of motion can be solved by first order differential equations. In this case we show that the trial orbit method can be used very efficiently to obtain explicit solutions.

5 pages, Revtex4

References in corpus (4)

• Solitons in systems of coupled scalar fields
• A Two-Field Quintessence Model
• Complete factorization of equations of motion in Wess-Zumino theory
• Quark-antiquark potentials from a scalar field in SU(2) YM

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• Scattering of kinks in a non-polynomial model
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• Mechanism to induce geometric constriction on kinks and domain walls
• Coupled scalar fields Oscillons and Breathers in some Lorentz Violating Scenarios
• Resonance phenomena in the ${\phi }^8$ kinks scattering
• Fluctuating solutions for the evolution of domain walls
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• Electrically charged multi-field configurations
• Extended multi-scalar field theories in (1+1) dimensions
• Supersymmetry and Fermionic Modes in an Oscillon Background
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• Extended solutions via the trial-orbit method for two-field models
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• Solitons in a class of interacting scalar field theories without $SO(2)$ invariance