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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 . WebMetrics Abstract. A 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 elastic bi-layers, where nonlinearity comes only from the bonding material).

Soliton solutions of coupled nonlinear Klein–Gordon …

WebSep 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 … 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 … mentro tech business solutions https://gpfcampground.com

Coupled Klein–Gordon equations and energy exchange in two …

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, … WebA 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, ... 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 … mentropolitan living annuity investment

A hybrid method based on the Chebyshev cardinal …

Category:Bound-state solutions, Lax pair and conservation laws for the coupled …

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Coupled nonlinear klein-gordon

[PDF] From the Klein–Gordon–Zakharov system to the Klein–Gordon …

WebSep 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... WebAug 29, 2024 · The numerical solution of coupled nonlinear Klein-Gordon equations on unbounded domains is considered by applying the artificial boundary method. Based on …

Coupled nonlinear klein-gordon

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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 ...

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 … WebMar 11, 2024 · In this paper, we study the existence of ground state solution for nonlinear Klein–Gordon equation coupled with Born–Infeld theory when the nonlinearity exhibits critical growth. We improve previous existence results in Teng and Zhang (Nonlinear Anal 74(12):4241–4251, 2011).

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. 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.

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 …

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 … men try breast pumpsWebA hybrid method based on the Chebyshev cardinal functions/wavelets for time fractional coupled Klein–Gordon–Schrödinger equations. Authors: M.H. Heydari. Department of … men trousers casualWebJan 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... how much space does brawlhalla take up on pcWebMar 4, 2002 · Nonlinear Klein-Gordon equations coupled with Born-Infeld type equations P. d’Avenia, L. Pisani Published 4 March 2002 Mathematics In this paper we prove the … how much space does brave browser takeWebIn 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 … mentry gtu.edu.inWebMar 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 . how much space does btd 6 take upWebJan 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 … men trouser with balloon