Nearly integrable systems

DOI10.1016/0167-2789(85)90083-1zbMath0577.58017OpenAlexW2067618710MaRDI QIDQ1065435

Yuji Komada

Publication date: 1985

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(85)90083-1

zbMATH Keywords

perturbationsdispersive nonlinear wave equationshigher order integrable systemsIntegrable Hamiltonian systems with certain classes ofIntegrable Hamiltonian systems with certain classes of perturbations

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Partial differential equations of mathematical physics and other areas of application (35Q99) Software, source code, etc. for problems pertaining to global analysis (58-04)

Related Items (6)

On the asymptotic integrability of a higher-order evolution equation describing internal waves in a deep fluid ⋮ Two-component description of dynamical systems that can be approximated by solitons: the case of the ion acoustic wave equations of plasma physics ⋮ Perturbative analysis of wave interaction in nonlinear systems ⋮ Recent progress and outstanding problems in Hamiltonian dynamics ⋮ Freedom in the expansion and obstacles to integrability in multiple-soliton solutions of the perturbed KdV equation ⋮ From single- to multiple-soliton solutions of the perturbed KdV equation

Cites Work

• Unnamed Item
• On integrable systems with higher order corrections
• Theory of Canonical Transformations for Nonlinear Evolution Equations. II
• Theory of Canonical Transformations for Nonlinear Evolution Equations. I
• Higher Order Approximation in the Reductive Perturbation Method. I. The Weakly Dispersive System
• Higher Order Approximation in the Reductive Perturbation Method. II. The Strongly Dispersive System
• The inverse scattering transform: Semi-infinite interval
• Topics on Solitons in Plasmas

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