Novel Lagrangian hierarchies, generalized variational ODE’s, and families of regular and embedded solitary waves

DOI10.1088/1751-8121/aba4d1OpenAlexW3042145107MaRDI QIDQ5870666

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Publication date: 23 January 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.11579

zbMATH Keywords

novel Lagrangian familiesgeneralized variational ODEsregular and embedded solitary waves

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items

Extensions of the general solution families for the inverse problem of the calculus of variations for sixth- and eighth-order ordinary differential equations

Cites Work

• Unnamed Item
• Quantitative measurement of variational approximations
• On Lagrangians and Hamiltonians of some fourth-order nonlinear Kudryashov ODEs
• Solitary wave families of a generalized microstructure PDE
• Regular and embedded solitons in a generalized Pochhammer PDE
• Homoclinic orbits in reversible systems and their applications in mechanics, fluids and optics
• Solitary wave families of NLPDEs via reversible systems theory
• Solution to the ghost problem in fourth order derivative theories
• Dirac quantization of the Pais-Uhlenbeck fourth order oscillator
• The Inverse Variational Problem in Classical Mechanics
• The inverse problem of the calculus of variations for scalar fourth-order ordinary differential equations
• A Lagrangian description of the higher-order Painlevé equations
• Embedded solitons: A new type of solitary wave
• Embedded solitons: Solitary waves in resonance with the linear spectrum