On the bifurcation of energy in media governed by \((2+1)\)-dimensional modified Klein-Gordon equations

DOI10.1016/j.amc.2008.09.013zbMath1166.65043OpenAlexW2077499066MaRDI QIDQ2379044

Jorge Eduardo Macías-Díaz

Publication date: 14 January 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.09.013

zbMATH Keywords

stabilitybifurcation analysisKlein-Gordon equationsnonstandard finite-difference schemebifurcation of energydiscrete sine-Gordon systemsgeneralized Josephson junction lattices

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

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Nonstandard finite difference methods: recent trends and further developments

Cites Work

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• On the transmission of binary bits in discrete Josephson-junction arrays
• On the propagation of binary signals in damped mechanical systems of oscillators
• Das Anfangswertproblem im Großen für eine Klasse nichtlinearer Wellengleichungen
• Numerical solution of a nonlinear Klein-Gordon equation
• An energy-based computational method in the analysis of the transmission of energy in a chain of coupled oscillators
• Blow-up theorems for nonlinear wave equations
• On some solutions of the two-dimensional sine-Gordon equation
• The Sine-Gordon Equation as a Model for a Rapidly Rotating Baroclinic Fluid
• New class of running-wave solutions of the (2+1)-dimensional sine-Gordon equation
• BISTABLE TRANSMITTING NONLINEAR DIRECTIONAL COUPLERS
• A numerical method for computing radially symmetric solutions of a dissipative nonlinear modified Klein‐Gordon equation
• Running wave solutions of the two-dimensional sine-Gordon equation