A new approximate analytical approach for dispersion relation of the nonlinear Klein–Gordon equation

DOI10.1063/1.1423335zbMath1080.35518OpenAlexW2061608473WikidataQ52015633 ScholiaQ52015633MaRDI QIDQ5706270

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Publication date: 7 November 2005

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1423335

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Second-order nonlinear hyperbolic equations (35L70)

Related Items (9)

Newton-harmonic balancing approach for accurate solutions to nonlinear cubic-quintic duffing oscillators ⋮ Nonlinear vibration of a two-mass system with nonlinear stiffnesses ⋮ Dispersion relation of the nonlinear Klein-Gordon equation through a variational method ⋮ Accurate approximation to the double sine-Gordon equation ⋮ On nonlinear oscillation response of a negatively dissipated oscillator and its analogy to long Josephson junction ⋮ Accurate higher-order analytical approximate solutions to large-amplitude oscillating systems with a general non-rational restoring force ⋮ Higher-Order Approximate Solutions to a Strongly Nonlinear Duffing Oscillator ⋮ Stochastic Resonance and Bifurcation of Order Parameter in a Coupled System of Underdamped Duffing Oscillators ⋮ A new analytical approach to the Duffing-harmonic oscillator

Cites Work

• Nonperturbative (but approximate) method for solving differential equations and finding limit cycles

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