Higher Order Terms in Multiscale Expansions: A Linearized KdV Hierarchy

DOI10.2991/JNMP.2002.9.3.6zbMath1009.35076arXivnlin/0302006OpenAlexW2147989092MaRDI QIDQ4780634

H. Leblond

Publication date: 20 November 2002

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0302006

zbMATH Keywords

KdV hierarchyhigher-order time derivativeslinearized KdV hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (2)

The KdV hierarchy and the propagation of solitons on very long distances ⋮ Optical solitons in a few-cycle regime: breakdown of slow-envelope approximation

Cites Work

• Transparent nonlinear geometric optics and Maxwell-Bloch equations.
• The reductive perturbation method and the Korteweg-de Vries hierarchy
• Higher Order Approximation in the Reductive Perturbation Method. I. The Weakly Dispersive System
• The Role of the Korteweg-de Vries Hierarchy in the N-Soliton Dynamics of the Shallow Water Wave Equation
• The secular solutions of the linearized Korteweg–de Vries equation
• Korteweg-de Vries Equation and Generalizations. III. Derivation of the Korteweg-de Vries Equation and Burgers Equation
• The Korteweg–de Vries hierarchy and long water-waves
• Boussinesq solitary-wave as a multiple-time solution of the Korteweg–de Vries hierarchy
• Integrals of nonlinear equations of evolution and solitary waves

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