Dromions bound states.
type: Item
instance of: scholarly article
title: Dromions bound states.
zbMATH Open document ID: 1048.35097
DOI: 10.1016/S0960-0779(02)00198-4
author: Attilio Maccari
published in: Chaos, Solitons and Fractals
publication date: 2004-01-14T00:00:00Z
review text: The author uses the asymptotic perturbation method (AP) for the theory of approximate analytic solutions to the nonlinear Klein-Gordon equation under the action of a harmonic potential and an external excitation in resonance with the frequency of a generic mode. The main results of the paper are 1) the existence of dromions bound states for appropriate parameter values and 2) the mathematical apparatus of quantum mechanics can be used as the lowest order approximation to the nonlinear Klein-Gordon equation.
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 35B20
zbMATH DE Number: 2027093
zbMATH Keywords: asymptotic perturbation method
zbMATH Keywords: harmonic potential
zbMATH Keywords: dromions bound state
zbMATH Keywords: nonlinear Klein-Gordon equation
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
cites work: A direct method for dromion solutions of the Davey-Stewartson equations and their asymptotic properties
cites work: Localized coherent structures and integrability in a generalized \((2+1)\)-dimensional nonlinear Schrödinger equation
cites work: Nonresonant interacting waves for the nonlinear Klein-Gordon equation in three-dimensional space
cites work: Interacting dromions for electron acoustic waves.
cites work: Non-resonant interacting water waves in \(2+1\) dimensions.
cites work: Approximate particle-like solutions for a nonlinear relativistic scalar complex field model in \(3+1\) dimensions
cites work: A non-linear field theory
cites work: Particle states of a quantized meson field
full work available at URL: s0960-0779(02)00198-4
OpenAlex ID: W2016085909
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description: scientific article; zbMATH DE number 2027093