A proposed model in which solitons exhibit electron and proton-like behavior

DOI10.1515/ANS-2015-5003zbMath1383.35183OpenAlexW2343322515WikidataQ63995772 ScholiaQ63995772MaRDI QIDQ278862

Jon C. Luke

Publication date: 3 May 2016

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1805/12019

zbMATH Keywords

nonlinear Klein-Gordon-Maxwell equationsnontopological soliton

Mathematics Subject Classification ID

Soliton equations (35Q51) Motion of charged particles (78A35) More general nonquantum field theories in mechanics of particles and systems (70S20) Second-order semilinear hyperbolic equations (35L71)

Cites Work

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• Hylomorphic solitons and charged Q-balls: existence and stability
• Relativistic point dynamics and Einstein formula as a property of localized solutions of a nonlinear Klein-Gordon equation
• Solitons in a system of coupled Korteweg-de Vries equations
• Energy-momentum relation for solitary waves of relativistic wave equations
• Nonlinear scalar field equations. I: Existence of a ground state
• Stable standing waves of nonlinear Klein-Gordon equations
• Spinning Q-balls for the Klein-Gordon-Maxwell equations
• Existence of hylomorphic solitary waves in Klein-Gordon and in Klein-Gordon-Maxwell equations
• Solitary waves interacting with an external field
• On the existence of hylomorphic vortices in the nonlinear Klein-Gordon equation
• On the existence of stable charged Q-balls
• EXISTENCE AND STABILITY OF SOLITARY WAVES IN NON-LINEAR KLEIN–GORDON–MAXWELL EQUATIONS
• Explicit construction of all spherically symmetric solitary waves for a nonlinear wave equation in multiple dimensions
• A Note on Particle-Like Solutions for a Nonlinear Complex-Valued Klein– Equation
• SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS
• A Note on Vortices with Prescribed Charge
• Solitons for the Nonlinear Klein-Gordon Equation
• EFFECTIVE DYNAMICS FOR SOLITONS IN THE NONLINEAR KLEIN–GORDON–MAXWELL SYSTEM AND THE LORENTZ FORCE LAW
• Solitary waves and Bohmian mechanics
• An Analytical Solution to a Class of Nonlinear Differential-Difference Equations
• Particle-like solutions of a nonlinear wave equation

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