Nonlinear effects in the wave equation with a cubic restoring force

DOI10.1007/BF01046879zbMath0697.65089WikidataQ60155453 ScholiaQ60155453MaRDI QIDQ911732

N. E. Zubov

Publication date: 1989

Published in: Computational Mechanics (Search for Journal in Brave)

zbMATH Keywords

numerical experimentsoscillatory solutionsnonlinear wave equationglobal behaviourlongtime behaviour

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Almost and pseudo-almost periodic solutions to PDEs (35B15) Applications to the sciences (65Z05)

Related Items (3)

Finite difference solution of a nonlinear Klein-Gordon equation with an external source ⋮ A class of nonlinear, completely integrable abstract wave equations ⋮ Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom

Cites Work

• Mouvements presque-périodiques d'une corde vibrante en presence d'un obstacle fixe, rectiligne ou ponctuel
• The periodic problem for the Korteweg-de Vries equation
• Numerical solution of a nonlinear Klein-Gordon equation
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Almost periodic motion of a string vibrating against a straight fixed obstacle
• Subharmonic oscillations of a semilinear wave equation
• Oscillatory Phenomena Associated to Semilinear Wave Equations in One Spatial Dimension
• Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz
• Korteweg‐devries equation and generalizations. VI. methods for exact solution
• Periodic solutions of hamiltonian systems
• Periodic Solutions of Nonlinear Hyperbolie Partial Differential Equations
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