On Lagrangians and Hamiltonians of some fourth-order nonlinear Kudryashov ODEs

DOI10.1016/j.cnsns.2010.11.016zbMath1237.70033OpenAlexW2054598946MaRDI QIDQ634209

Partha Guha, Anindya Ghose Choudhury

Publication date: 2 August 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2010.11.016

zbMATH Keywords

Lagrangianfourth-order ordinary differential equationsJacobi last multiplierJacobi-Ostrogradski's methodinverse problem of calculus of variations

Mathematics Subject Classification ID

Variational methods for problems in mechanics (70G75) Hamilton's equations (70H05) Inverse problems in optimal control (49N45) Lagrange's equations (70H03)

Related Items (5)

Extensions of the general solution families for the inverse problem of the calculus of variations for sixth- and eighth-order ordinary differential equations ⋮ Hamiltonians and conjugate Hamiltonians of some fourth-order nonlinear ODEs ⋮ A Lagrangian description of the higher-order Painlevé equations ⋮ The \(\lambda\)-symmetry reduction method and Jacobi last multipliers ⋮ Novel Lagrangian hierarchies, generalized variational ODE’s, and families of regular and embedded solitary waves

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