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General solutions for some classes of interacting two field kinks

2005/09/08 by A. de Souza Dutra, Alvaro de Souza Dutra · 1 citation
Computer Science · Engineering · Materials Science · Mathematics · Physics and Astronomy · #Applied mathematics #Artificial intelligence #Class (philosophy) #Computer science #Engineering #Field (mathematics) #Geometry #Liquid Crystal Research Advancements #Mathematics #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Nonlinear system #Orbit (dynamics) #Order (exchange) #Physics #Plane (geometry) #Pure mathematics #Quantum mechanics #Statistical physics #Work (physics) #hep-th

paper · pdf · doi:10.1016/j.physletb.2005.08.095

published as Phys.Lett.B626:249-255,2005 · 14 pages, 3 figures

openalex publication_date 2005/09/08 · arxiv created 2007/05/21 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In this work we present some classes of models whose the corresponding two coupled first-order nonlinear equations can be put into a linear form, and consequently be solved completely. In these cases the so-called trial orbit method is completely unnecessary. We recall that some physically important models as, for instance, the problem of tiling a plane with a network of defects and polymer properties are in this class of models.

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