Non-integrability of the Karabut system

DOI10.1016/j.nonrwa.2016.04.002zbMath1382.35210OpenAlexW2346738642MaRDI QIDQ2630051

Ognyan Christov

Publication date: 8 July 2016

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2016.04.002

zbMATH Keywords

differential Galois groupsKarabut systemnon-Hamiltonian integrabilitysolitary wave in a fluidWitting series

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Soliton solutions (35C08)

Related Items (4)

Differential Galoisian approach to Jacobi integrability of general analytic dynamical systems and its application ⋮ Internal rogue waves in stratified flows and the dynamics of wave packets ⋮ Nonintegrability of dynamical systems with homo- and heteroclinic orbits ⋮ Integrable deformations, bi-Hamiltonian structures and nonintegrability of a generalized Rikitake system

Cites Work

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• Galoisian obstructions to non-Hamiltonian integrability
• Extended integrability and bi-Hamiltonian systems
• Non-integrability of ABC flow
• Summation of the Witting series in the solitary wave problem
• Non-integrability of first order resonances in Hamiltonian systems in three degrees of freedom
• Hamiltonian formulation and integrability of a complex symmetric nonlinear system
• Asymptotic expansions in the problem of a solitary wave
• On the Highest and Other Solitary Waves
• Differential Galois theory and non-integrability of Hamiltonian systems

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