Coupled klein-gordon
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. Webnonlinear coupled Klein-Gordon equation (Taghi zadeh 2011). The main advantage of the . method is the fact that it provides its user with an analytical approxi mation, in many cases an .
Coupled klein-gordon
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WebJul 31, 2024 · Abstract We establish a uniform error estimate of a finite difference method for the Klein-Gordon-Schrödinger (KGS) equations with two dimensionless parameters 0 < γ ≤ 1 and 0 < ε ≤ 1, which are the mass ratio and inversely proportional to the … WebMay 28, 2010 · Download PDF Abstract: Consider, in dimension 3, a system of coupled …
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. WebAt this point in the course, the Klein-Gordon equation had been studied fairly thoroughly. …
WebNov 3, 2024 · Lastly, in the authors investigate the low regularity local and global well-posedness of the Cauchy problem for a coupled Klein–Gordon–Schrödinger system with fractional Laplacian in the Schrödinger equation and a right hand side of \( u ^{2}\) for the wave equation in \(R^{1+1.}\) WebAbstract. In this paper, the Chebyshev cardinal functions together with the extended …
WebAug 15, 2024 · Numerical solutions of the coupled Klein–Gordon–Zakharov equations …
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. buble at chewton glenWeb2. 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 ... bub leaves homeWebMar 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. expression of smad inductionWebJul 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 … buble and bluntWebAug 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. expression of signature genesWebOct 15, 2024 · Using the hyperboloidal foliation method, we establish stability results for a coupled wave-Klein-Gordon system with quadratic nonlinearities. In particular, we investigate quadratic wave-Klein-Gordon interactions in which there are no derivatives on the massless wave component. expression of shockWebBased 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 ... expression of quantity exercises