2024 Coupled nonlinear klein-gordon equations

Coupled nonlinear klein-gordon equations

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August undefined, 2024

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 … 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 …

New energy-preserving schemes for Klein–Gordon–Schrödinger equations ...

WebDec 15, 2024 · In this paper, the reduced differential transform method (RDTM) is successfully implemented for solving two-dimensional nonlinear Klein–Gordon equations (NLKGEs) with quadratic and cubic nonlinearities subject to appropriate initial conditions. The proposed technique has the advantage of producing an analytical … WebMay 6, 2024 · Biler, P.: Attractors for the system of Schrödinger and Klein–Gordon equations with Yukawa coupling. SIAM J. Math. Anal. 21, 1190–1212 (1990) ... Hioe, F.: Periodic solitary waves for two coupled nonlinear Klein–Gordon and Schrödinger equations. J. Phys. A Math. Gen. 36, 7307–7330 (2003) penne with meaty ragu

[PDF] On the Orbital Stability of Standing-Wave Solutions to a Coupled …

WebFeb 16, 2011 · We consider the Cauchy problem for coupled systems of wave and Klein–Gordon equations with quadratic nonlinearity in three space dimensions. We show global existence of small amplitude solutions under certain condition including the null condition on self-interactions between wave equations. WebMay 15, 2012 · A scheme, stemming from the use of pseudospectral approximations to spatial derivatives followed by a time integrator based on trigonometric polynomials, is proposed for the numerical solutions of the N-coupled nonlinear Klein–Gordon equations.Numerical tests on one- and three-coupled Klein–Gordon equations are … WebFeb 17, 2024 · In this paper, we apply Adomian Decomposition Method (ADM) for solving coupled nonlinear Klein-Gordon equations (CNLKGE) which arise in particle physics, wave theory and other physical phenomena... tn titans wire

[PDF] Cauchy problem for the nonlinear Klein–Gordon equation coupled ...

A coupled nonlinear system - ScienceDirect

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 WebAbstract The time-fractional coupled Korteweg–de Vries equations (TFCKdVEs) describe various interesting real-world phenomena including wave propagation and the … tn titans stadium capacityWebAug 1, 2016 · On the Yukawa-coupled Klein-Gordon-Schrödinger equations in three space dimensions. Proc. Jpn. Acad., 51 (1975), pp. 402-405. View in ... High-order linear compact conservative method for the nonlinear Schrödinger equation coupled with the nonlinear Klein-Gordon equation. Nonlinear Anal., 92 (2013), pp. 108-118. View PDF … penne without ridges

"WebJan 1, 2010 · We consider the nonlinear Klein–Gordon equations coupled with the Born–Infeld theory under the electrostatic solitary wave ansatz. The existence of the least-action solitary waves is proved in both bounded smooth domain case and R 3 case. In particular, for bounded smooth domain case, we study the asymptotic behaviors and … " - Coupled nonlinear klein-gordon equations

Coupled nonlinear klein-gordon equations

Cauchy problem for the nonlinear Klein-Gordon equation coupled …

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. 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 conditions gives rise to the existence of nontrivial solutions of the nonlinear Klein-Gordon equation with vanishing Θµν for any nonzero value of ζ.

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WebThe Klein–Gordon equation was first considered as a quantum wave equation by Schrödinger in his search for an equation describing de Broglie waves. The equation is … 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 energy under a two-charges constraint. We prove that the ground state is stable and that standing-waves are orbitally stable under a non-degeneracy assumption. View PDF on arXiv Save …

WebDec 1, 2008 · The three-coupled nonlinear Klein–Gordon equations take the following general form: (5.1) Let then Eq. (5.1) becomes (5.2) Balancing the term with term with term with and the term with or or leads to the following ansatz (for , , … 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 …

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 …

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.

WebFeb 16, 2011 · We consider the Cauchy problem for coupled systems of wave and Klein–Gordon equations with quadratic nonlinearity in three space dimensions. We … tntitleWebAug 4, 2024 · We consider difference schemes for nonlinear time fractional Klein-Gordon type equations in this paper. A linearized scheme is proposed to solve the problem. As a result, iterative method need not be employed. One of the main difficulties for the analysis is that certain weight averages of the approximated solutions are considered in the … tn titans wallpaperWebOct 15, 2010 · Two-coupled nonlinear Klein–Gordon equations can be written as (3.1) u 1 xx - u 1 tt - u 1 + 2 ( u 1 2 + u 2 2 + v) u 1 = 0, u 2 xx - u 2 tt - u 2 + 2 ( u 1 2 + u 2 2 + v) u 2 = 0, v x - v t - 4 ( u 1 u 1 t + u 2 u 2 t) = 0. tn titans sweatpantsWebIn 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 … tntit _ drop offWebExtended trial equation method for nonlinear coupled equation method as [46–48]: Schrodinger Boussinesq equations Step 1. ... A 361 (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) … tn titans team storeWebSep 22, 2024 · problem for coupled nonlinear Klein-Gordon equations with cubic nonlinearity, several simpliﬁed ordinary diﬀerential equations are inv estigated to … tn titans vs houstonWebMar 11, 2024 · 2 Citations Metrics Abstract 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). 1 Introduction penne with mushroom sauce