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Coupled nonlinear klein-gordon

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 … WebW. Bao and X. Dong, Analysis and comparison of numerical methods for Klein-Gordon equation in nonrelativistic limit regime, Numer. ... Nonrelativistic limit in the energy space for nonlinear Klein-Gordon equations, Math. Ann., 322 (2002), pp. 603–621. Crossref. ISI. Google Scholar. 19.

Coupled Klein–Gordon equations and energy exchange in two …

WebSep 9, 2024 · We study the stability of standing-waves solutions to a scalar non-linear Klein–Gordon equation in dimension one with a quadratic-cubic non-linearity. Orbits are obtained by applying the semigroup generated by the negative complex unit multiplication on a critical point of the energy constrained to the charge. 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 … pmb ui vokasi https://pickeringministries.com

Exact solutions of coupled sine–Gordon equations

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. WebAug 1, 2024 · In this paper, we develop a fast algorithm to solve the two-dimensional nonlinear coupled time–space fractional Klein–Gordon–Zakharov (KGZ) equations. The L 2 − 1 σ method based on an efficient sum-of-exponentials (SOE) approximation and a Fourier spectral method are used to approximate the time and space direction, … 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 … pmb sstt

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Coupled nonlinear klein-gordon

[PDF] Nonlinear Klein-Gordon equations coupled with …

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. 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 …

Coupled nonlinear klein-gordon

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WebIn this paper, we study the nonlinear Klein-Gordon equation coupled with a Maxwell equation. Using the energy method, we obtain a local existence result for the Cauchy problem. (C) 2016 Elsevier Inc. 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 …

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 … WebExtended trial equation method for nonlinear coupled Schrodinger Boussinesq partial differential equations ... (2007) 115–118. [37] B. Jang, Exact traveling wave solutions of nonlinear Klein Gordon [16] B. Zheng, Application of a generalized Bernoulli sub-ODE method equations, Chaos, Solitons Fractals 41 (2009) 646–654.

WebDec 1, 2016 · In a singular limit, the Klein–Gordon (KG) equation can be derived from the Klein–Gordon–Zakharov (KGZ) system. We point out that for the original system posed on a d‐dimensional torus, the solutions of the KG equation do not approximate the solutions of the KGZ system. The KG system has to be modified to make correct predictions about … 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

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 ...

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 … pmb ykpnWebIn this paper, we study the nonlinear Klein-Gordon equation coupled with a Maxwell equation. Using the energy method, we obtain a local existence result for the Cauchy … pmb uin malikiWebAug 1, 2004 · In this paper we obtain some non-existence results for the Klein-Gordon equation coupled with the electrostatic field. The method relies on the deduction of … pmaysetuWebJan 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... pmb ykyWebFeb 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 ... pmb uin sukaWebFeb 1, 1986 · JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 113. 510 513 (1986) A Coupled Nonlinear System G. ADOMIAN AND R. RACK Center for … pmb uin jakartaWebSep 22, 2024 · The purpose of this paper is to construct small-amplitude breather solutions for a nonlinear Klein-Gordon equation posed on a periodic metric graph via spatial … pmb uin jakarta 2023