Chaotic behaviour of solutions to a perturbed Korteweg-de Vries equation

DOI10.1016/S0034-4877(02)80003-9zbMath1205.37082arXivnlin/0206019MaRDI QIDQ1611472

Konstantin B. Blyuss

Publication date: 21 August 2002

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0206019

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

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Dynamics of the generalized KP-MEW-Burgers equation with external periodic perturbation ⋮ Nonlinear flexural waves and chaos behavior in finite-deflection Timoshenko beam ⋮ Response solutions in singularly perturbed, quasi-periodically forced nonlinear oscillators ⋮ A stability analysis of periodic solutions to the steady forced Korteweg-de Vries-Burgers equation ⋮ Invariant sets for the varactor equation ⋮ Unstable periodic orbit detection for ODEs with periodic forcing ⋮ PERTURBED BEHAVIOR FOR THE MODEL OF WAVE PROPAGATION IN A NONLINEAR DISPERSIVE NONCONSERVATIVE MEDIA ⋮ Dynamical behavior in the perturbed compound KdV-Burgers equation ⋮ Nonautonomous analysis of steady Korteweg–de Vries waves under nonlocalised forcing ⋮ Dynamical survey of the dual power Zakharov-Kuznetsov-Burgers equation with external periodic perturbation

Cites Work

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• Fourth-order symplectic integration
• Periodic and chaotic behaviour in a reduced form of the perturbed generalized Korteweg-de Vries and Kadomtsev-Petviashvili equations
• Weak Chaos and Quasi-Regular Patterns
• Periodic and chaotic behaviour in a reduction of the perturbed Korteweg-de Vries equation
• Chaotic behaviour of nonlinear waves and solitons of perturbed Korteweg-de Vries equation

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