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Coupled nonlinear klein-gordon

WebThe Klein–Gordon equation ( Klein–Fock–Gordon equation or sometimes Klein–Gordon–Fock equation) is a relativistic wave equation, related to the Schrödinger equation. It is second-order in space and time and manifestly Lorentz-covariant. It is a quantized version of the relativistic energy–momentum relation . WebMay 6, 2024 · This paper is concerned with unconditionally optimal error estimates of linearized leap-frog Galerkin finite element methods (FEMs) to numerically solve the d -dimensional (d=2,3) nonlinear Klein–Gordon–Schrödinger (KGS) equation.

Periodic solitary waves for two coupled nonlinear …

WebFeb 17, 2024 · The coupled nonlinear Klein–Gordon equations are analyzed for their integrability properties in a systematic manner through Painlev e test. From the Painlev e test, by truncating the Laurent ... WebMar 24, 2024 · , The explicit solutions to the nonlinear Dirac equation and Dirac–Klein–Gordon equation, Ric. Mat. 56 (2007) 19 – 30. Google Scholar [40] Ohlsson T. , Relativistic Quantum Physics: From Advanced Quantum Mechanics to Introductory Quantum Field Theory, vol. 1 , Cambridge University Press , 2011 . emilie richards goddesses anonymous series https://askerova-bc.com

Fast evaluation for the two-dimensional nonlinear coupled …

WebNov 23, 2024 · In this paper, Bäcklund transformation and interaction solutions of the generalized coupled Klein–Gordon (cKG) equations with the variable coefficients are studied via the residual symmetry and the consistent Riccati expansion (CRE) method. From the truncated Painlevé expansion, we drive the residual symmetry which can be … WebWe show that the solutions for the nonlinear Klein-Gordon equation can be described by using a system of two coupled nonlinear Schrödinger equations as the speed of light … emilieshire

Unconditional Optimal Error Estimates of Linearized, Decoupled …

Category:Exact and Numerical Solutions for Coupled Nonlinear Klein …

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Coupled nonlinear klein-gordon

[PDF] Nonlinear Klein-Gordon equations coupled with …

WebA system of coupled Klein–Gordon equations is proposed as a model for one-dimensional nonlinear wave processes in two-component media (e.g., long longitudinal waves in … WebHowever, the improvement allows for weaker asymptotic conditions, which include a wider class of solutions with finite charges. In particular, the effect of relaxing the asymptotic …

Coupled nonlinear klein-gordon

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WebOct 1, 2010 · The study of exact solutions of nonlinear coupled systems is of great significance for understanding complex physical phenomena in reality. ... We consider a system of coupled Klein–Gordon ... WebDec 1, 2008 · Bilinear form and one-soliton solutions of coupled nonlinear Klein–Gordon equations are investigated in [3]. It has been shown that the one- and two-coupled nonlinear Klein–Gordon equations are completely integrable and their integrability properties can also be constructed from P-analysis [4], [11]. The goal of the present …

WebIn this article, a compact finite difference method is developed for the periodic initial value problem of the N-coupled nonlinear Klein–Gordon equations. The present scheme is … WebJan 15, 2016 · We propose and analyze an efficient and accurate numerical method for solving the coupled nonlinear Klein–Gordon equations. The method is based on the …

WebSix new periodic analytic solitary-wavesolutions of two coupled nonlinear Klein–Gordon and Schr¨odinger equations are presented. Besides their application to optical solitary wavepairs due to cross-phase modulation or modal birefringence,their application to the (presently) unphysical regime and the significance of symmetryarediscussed. WebJan 22, 2024 · The analytic solutions of the coupled equations have some invariants such as the number of plasmons, the number of particles, and the energy of oscillations, and we proved that the compact difference scheme preserves those invariants in discrete sense. Optimal order convergence rate of the proposed linearized compact scheme was analyzed.

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 …

WebJan 1, 2012 · We consider a system of coupled Klein–Gordon–Schrödinger equation with appropriate initial values using the modified decomposition method. The method does … emilie thabardWebFeb 1, 1986 · JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 113. 510 513 (1986) A Coupled Nonlinear System G. ADOMIAN AND R. RACK Center for … emilie richards written worksWebSep 22, 2024 · Abstract The initial and boundary value problem for a system of nonlinear Klein-Gordon equations with cubic nonlinearity is considered. In this setting, two waves possibly co-exist, and they... emilie ritchen school oxnardWebA hybrid method based on the Chebyshev cardinal functions/wavelets for time fractional coupled Klein–Gordon–Schrödinger equations. Authors: M.H. Heydari. Department of Mathematics, Shiraz University of Technology, Shiraz, Iran. ... Well-posedness in energy space for the nonlinear Klein–Gordon-Schrödinger system, ... dptms range branchWebNov 15, 2016 · DOI: 10.1016/J.JMAA.2016.05.057 Corpus ID: 124814663; Cauchy problem for the nonlinear Klein–Gordon equation coupled with the Maxwell equation @article{Colin2016CauchyPF, title={Cauchy problem for the nonlinear Klein–Gordon equation coupled with the Maxwell equation}, author={Mathieu Colin and Tatsuya … dptms meaning armyWebJan 1, 2012 · In this paper we give a derivation of the exact solution for coupled nonlinear Klein-Gordon-Schrödinger equation by the ansatz method. We present a numerical solution by implicit finite... dptms stand forWebAug 1, 2004 · The coupled nonlinear Klein–Gordon equations are analyzed for their integrability properties in a systematic manner through Painlevé test. From the Painlevé … dptms sharepoint