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A. Jeffrey and T. Kawahara, “Asymptotic Methods in Nonlinear Wave Theory,” Pitman, London, 1982.

has been cited by the following article:

• TITLE: Nonlinear Schroedinger Solitons in Massive Yang-Mills Theory and Partial Localization of Dirac Matter

  AUTHORS: Xanthos N. Maintas, Charilaos E. Tsagkarakis, Fotios K. Diakonos, Dimitrios J. Frantzeskakis

  KEYWORDS: Yang-Mills Solitons; Non-Linear Schroedinger Equation; Dirac Fermions; Localization

  JOURNAL NAME: Journal of Modern Physics, Vol.3 No.8, August 15, 2012

  ABSTRACT: We investigate the classical dynamics of the massive SU(2) Yang-Mills field in the framework of multiple scale perturbation theory. We show analytically that there exists a subset of solutions having the form of a kink soliton, modulated by a plane wave, in a linear subspace transverse to the direction of free propagation. Subsequently, we explore how these solutions affect the dynamics of a Dirac field possessing an SU(2) charge. We find that this class of Yang- Mills configurations, when regarded as an external field, leads to the localization of the fermion along a line in the transverse space. Our analysis reveals a mechanism for trapping SU(2) charged fermions in the presence of an external Yang-Mills field indicating the non-abelian analogue of Landau localization in electrodynamics.