The KdV hierarchy and the propagation of solitons on very long distances

DOI10.1016/j.matcom.2005.01.010zbMath1070.35066OpenAlexW2023037284MaRDI QIDQ2486250

H. Leblond

Publication date: 5 August 2005

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2005.01.010

zbMATH Keywords

multiscale expansionreductive perturbationligher order KdV

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (1)

Fractal structure of ferromagnets: The singularity structure analysis

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On integrable systems with higher order corrections
• Transparent nonlinear geometric optics and Maxwell-Bloch equations.
• The reductive perturbation method and the Korteweg-de Vries hierarchy
• A Method for Finding N-Soliton Solutions of the K.d.V. Equation and K.d.V.-Like Equation
• Higher Order Approximation in the Reductive Perturbation Method. I. The Weakly Dispersive System
• Method for Solving the Korteweg-deVries Equation
• A new criterion for the existence of KdV solitons in ferromagnets
• 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
• Higher Order Terms in Multiscale Expansions: A Linearized KdV Hierarchy
• The Korteweg–de Vries hierarchy and long water-waves
• Boussinesq solitary-wave as a multiple-time solution of the Korteweg–de Vries hierarchy
• On the asymptotic integrability of a higher-order evolution equation describing internal waves in a deep fluid
• General Exchange Boundary Condition and Surface Anisotropy Energy of a Ferromagnet
• Integrals of nonlinear equations of evolution and solitary waves

This page was built for publication: The KdV hierarchy and the propagation of solitons on very long distances