EXISTENCE AND STABILITY OF SOLITARY WAVES IN NON-LINEAR KLEIN–GORDON–MAXWELL EQUATIONS

DOI10.1142/S0129055X06002784zbMath1169.78003MaRDI QIDQ3422240

Eamonn Long

Publication date: 9 February 2007

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

stabilitysolitonsKlein--Gordon--Maxwell

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Soliton equations (35Q51) Electromagnetic theory (general) (78A25) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Noncompact Lie groups of transformations (57S20)

Related Items (14)

A proposed model in which solitons exhibit electron and proton-like behavior ⋮ Static Klein–Gordon–Maxwell–Proca systems in 4-dimensional closed manifolds ⋮ Cauchy problem for the nonlinear Klein-Gordon equation coupled with the Maxwell equation ⋮ Solitary waves for nonlinear Klein-Gordon equations coupled with Born-Infeld theory ⋮ Hylomorphic solitons and charged Q-balls: existence and stability ⋮ EFFECTIVE DYNAMICS FOR SOLITONS IN THE NONLINEAR KLEIN–GORDON–MAXWELL SYSTEM AND THE LORENTZ FORCE LAW ⋮ Solitary Waves in Abelian Gauge Theories ⋮ Hylomorphic solitons ⋮ Dirichlet and Neumann problems for Klein-Gordon-Maxwell systems ⋮ Hamiltonian formulation of the Klein-Gordon-Maxwell equations ⋮ Solitary waves in Abelian gauge theories with strongly nonlinear potentials ⋮ EXISTENCE ANDA PRIORIBOUNDS FOR ELECTROSTATIC KLEIN–GORDON–MAXWELL SYSTEMS IN FULLY INHOMOGENEOUS SPACES ⋮ On the Existence of Ground States for a Nonlinear Klein-Gordon-Maxwell Type System ⋮ Spinning Q-balls in abelian gauge theories with positive potentials: existence and non existence

Cites Work

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• Dynamics of Charged Particles and their Radiation Field
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• Regularity for the wave equation with a critical nonlinearity
• SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS
• Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations
• Modulational approach to stability of non-topological solitons in semilinear wave equations.

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