Coupled klein-gordon

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August undefined, 2024

WebJul 12, 2007 · Abstract. In this paper, we compare the classical conservative properties of … WebSep 30, 2024 · Exponential stability for the coupled Klein-Gordon-Schrödinger equations with locally distributed damping. Department of Mathematics, State University of Maringa, Maringa, 87020-900, Brazil. * Research partially supported by the CNPq grant 300631/2003-0. i ψ t + Δ ψ + i α b ( x) ( ψ 2 + 1) ψ = ϕ ψ χ ω in Ω × ( 0, ∞), ( α > 0 ...

[PDF] Uniform decay for the coupled Klein-Gordon-Schrödinger …

WebJul 16, 2004 · Coupled Klein-Gordon-Maxwell equations311 NOTATIONS • Lp≡ Lp(R3) (1 ≤ p<+∞) is the usual Lebesgue space endowed with the norm kukp p:= Z R3 u pdx; • H1≡ H1(R3) denotes the usual Sobolev space... WebAbstract. A system of coupled Klein–Gordon equations is proposed as a model for one … swanson brain health

Frontiers New and More Solitary Wave Solutions for the Klein-Gordon ...

WebOct 12, 2024 · We construct three efficient and accurate numerical methods for solving the Klein–Gordon–Schrödinger (KGS) equations with/without damping terms. The first one is based on the original SAV approach, it preserves a modified Hamiltonian but does not preserve the wave energy. WebAbstract. In this paper, the Chebyshev cardinal functions together with the extended Chebyshev cardinal wavelets are mutually utilized to generate a computational method for solving time fractional coupled Klein–Gordon–Schrödinger equations. swansonbroth.com instant pot

Klein-Gordon Theory in Noncommutative Phase Space

[PDF] On the Orbital Stability of Standing-Wave Solutions to a Coupled …

WebThe solitary wave solutions for the Klein-Gordon-Schrödinger Equations were obtained by using the homogeneous balance principle. The form of the solutions is more generalized than the result that has been proved by pure theoretical and qualitative method in literature; namely, the form of solutions in literature is a particular case of result of the present paper. WebBased on these noncommutative relations, we give the Klein-Gordon (KG) equation and its corresponding current continuity equation in the noncommutative phase space including the canonical and Hamiltonian forms and their novel properties beyond the conventional KG equation. ... There does not exist a coupled constant between the effective gauge ... skin within norfolkWeb2. I've calculated the trace of the stress-energy for a massless KG field and I keep getting T = − ( ∂ ϕ) 2 in 3+1 dimensions. I'm using. T μ ν = ∂ μ ϕ ∂ ν ϕ − 1 2 g μ ν ( ∂ ϕ) 2. Since g μ ν g μ ν = 4, the second term is double the first. On the other hand, David Tong's notes suggest that massless KG is a conformal ... swanson broth can

"WebDec 1, 2009 · Some new generalized solitary solutions of the … " - Coupled klein-gordon

Coupled klein-gordon

[PDF] On the Orbital Stability of Standing-Wave Solutions to a Coupled …

WebIn the case of relativistic fields, that is, when nucleons are described by Dirac spinor … WebAug 15, 2024 · Numerical solutions of the coupled Klein–Gordon–Zakharov equations are obtained by using quintic B-spline based differential quadrature method. A Runge–Kutta fourth method is used for time integration. Stability of the scheme is studied using matrix stability analysis.

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WebWe present linear stability result for periodic standing wave solutions for the Klein–Gordon equation. We find conditions on parameters of the waves which imply linear stability and instabilty of per WebNov 25, 2024 · The Einstein-Klein-Gordon coupled system: global stability of the Minkowski solution. We prove definitive results on the global stability of the flat space among solutions of the Einstein-Klein-Gordon system. Our main theorems in this monograph include: (1) A proof of global regularity (in wave coordinates) of solutions of the Einstein …

WebA. 14 The Klein-Gordon equation. The Schrödinger equation for the quantum wave … WebThis paper considers methods to extract exact, explicit, and new single soliton solutions related to the nonlinear Klein-Gordon-Schrödinger model that is utilized in the study of neutral scalar mesons associated with conserved scalar nucleons coupled through the Yukawa interaction. Three state of the art integration schemes, namely, the e−Φ(ξ) …

WebJul 12, 2007 · In this paper we study the existence of radially symmetric solitary waves for nonlinear Klein–Gordon equations and nonlinear Schrödinger equations coupled with Maxwell equations. The method relies on a variational approach and the solutions are obtained as mountain-pass critical points for the associated energy functional. Type … WebSep 13, 2010 · Abstract We show the existence of standing-wave solutions to a coupled non-linear Klein-Gordon equation. Our solutions are obtained as minimizers of the energy under a two-charges constraint. We prove that the ground state is stable and that standing-waves are orbitally stable under a non-degeneracy assumption. View PDF on arXiv Save …

WebJun 21, 2024 · In this paper, we design two classes of high-accuracy conservative …

WebAbstract. In this paper, the Chebyshev cardinal functions together with the extended … swansonbroth.com/instantpotWebAug 1, 2004 · The coupled nonlinear Klein–Gordon equations are analyzed for their integrability properties in a systematic manner through Painlevé test. From the Painlevé test, by truncating the Laurent series at the constant level term, the Hirota bilinear form is identified, from which one-soliton solutions are derived. skin within norfolk maWebThe Klein-Gordon - Schroedinger system with Yukawa coupling is shown to have a unique global solution for rough data, which not necessarily have finite energy. The proof uses a generalized bilinear estimate of Strichartz type and Bourgain's idea to split the data into low and high frequency parts. View PDF on arXiv. swanson broth beef stew recipeWebMar 20, 2024 · The coupled Klein-Gordon like equations become coupled damped Klein-Gordon equations or telegraph equations or wave equations at a certain parameter value. The system is reduced to a discrete iteration of a 2D map which is different from the unary map induced by the non-coupled hyperbolic PDEs. swansonbroth.com recipesWebMar 24, 2024 · Recently, a time-splitting Fourier pseudo-spectral (TSFP) scheme for solving numerically the Klein–Gordon–Dirac equation (KGDE) has been proposed (Yi et al., 2024). However, that paper only gives numerical experiments and lacks rigorous convergence analysis and error estimates for the scheme. skin within scottsdaleWebMay 28, 2010 · Download PDF Abstract: Consider, in dimension 3, a system of coupled … skin within trowbridgeWebMar 4, 2002 · Journal of Contemporary Mathematical Analysis (Armenian Academy of … skin within sunscreen