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
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