Nonlinear Dirac equation solitary waves under a spinor force with different components

DOI10.1088/1751-8121/aa5fb4zbMath1364.81114arXiv1611.04066OpenAlexW2586527192WikidataQ63543010 ScholiaQ63543010MaRDI QIDQ2987995

Fred Cooper, Sihong Shao, Avadh Saxena, A. R. Bishop, Niurka Rodriguez Quintero, Franz G. Mertens

Publication date: 18 May 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.04066

zbMATH Keywords

variational approachcollective coordinatestwo-component spinorsexternal force with dampingrelativistic generalization

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Variational principles of physics (49S05) Soliton solutions (35C08) Unilateral problems for nonlinear hyperbolic equations and variational inequalities with nonlinear hyperbolic operators (35L86)

Related Items (3)

Externally driven nonlinear Dirac equation revisited: theory and simulations ⋮ Length-scale competition in the parametrically driven nonlinear Dirac equation with a spatially periodic force ⋮ Energy conserving discontinuous Galerkin method with scalar auxiliary variable technique for the nonlinear Dirac equation

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