Some remarks on the fifth-order KdV equations

DOI10.1016/j.jmaa.2014.10.021zbMath1311.35258OpenAlexW2091677046MaRDI QIDQ486558

Chun-Te Lee

Publication date: 16 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.10.021

zbMATH Keywords

Hamiltonian systemfifth-order KdV equationKaup-Kupershmidt equationprolongationJacobin identityskew-adjoint operator

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (2)

Exact travelling wave solutions for some nonlinear time fractional fifth-order Caudrey-Dodd-Gibbon equation by \((G'/G)\)-expansion method ⋮ Classification of self-adjoint domains of odd-order differential operators with matrix theory

Cites Work

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• Exact solutions for the general fifth KdV equation by the exp function method
• \(N\)-soliton solutions for the combined KdV-CDG equation and the KdV-Lax equation
• A Method for Finding N-Soliton Solutions of the K.d.V. Equation and K.d.V.-Like Equation
• A Bäcklund Transformation for a Higher Order Korteweg-De Vries Equation
• An Extension of Nonlinear Evolution Equations of the K-dV (mK-dV) Type to Higher Orders
• THE SECOND-ORDER KdV EQUATION AND ITS SOLITON-LIKE SOLUTION
• On the Inverse Scattering Problem for Cubic Eigenvalue Problems of the Class ψ_xxx + 6Qψ_x + 6R_ψ = λψ
• A new hierarchy of Korteweg–de Vries equations
• A simple model of the integrable Hamiltonian equation
• Integrals of nonlinear equations of evolution and solitary waves

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