Adiabatic invariants of the extended KdV equation

DOI10.1016/j.physleta.2016.11.035zbMath1372.35275arXiv1512.01194OpenAlexW2189553224MaRDI QIDQ2409957

George Rowlands, Anna Karczewska, Eryk Infeld, Piotr Rozmej

Publication date: 16 October 2017

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.01194

zbMATH Keywords

nonlinear equationsadiabatic invariantsshallow water wavesnear-identity transformationinvariants of KdV2 equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Adiabatic invariants for problems in Hamiltonian and Lagrangian mechanics (70H11)

Related Items

Approximate conservation laws in the KdV equation ⋮ New exact superposition solutions to KdV2 equation ⋮ A mathematical justification of the momentum density function associated to the KdV equation ⋮ Convergence of mechanical balance laws for water waves: from KdV to Euler

Cites Work

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• New exact solutions for a higher-order wave equation of KdV type using extended F-expansion method
• New exact solutions for a higher order wave equation of KdV type using multiple \(G^\prime / G\)-expansion methods
• On the formulation of mass, momentum and energy conservation in the KdV equation
• New exact solutions for a higher-order wave equation of KdV type using the multiple simplest equation method
• Symmetries and conservation laws for the Karczewska-Rozmej-Rutkowski-Infeld equation
• The extended Korteweg-de Vries equation and the resonant flow of a fluid over topography
• Normal Form and Solitons
• Asymptotic Integrability of Water Waves
• Hamiltonian structure, symmetries and conservation laws for water waves
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
• Dynamics of Embedded Solitons in the Extended Korteweg–de Vries Equations
• Soliton interaction for the extended Korteweg-de Vries equation
• Ordering of two small parameters in the shallow water wave problem
• Wave group dynamics in weakly nonlinear long-wave models

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