PILOT-WAVE HYDRODYNAMICS: QUANTISATION OF PARTIAL INTEGRABILITY FROM A NONLINEAR INTEGRO-DIFFERENTIAL EQUATION OF THE SECOND ORDER

DOI10.1017/S0004972723000151zbMath1527.34005WikidataQ117220280 ScholiaQ117220280MaRDI QIDQ6069303

Unnamed Author

Publication date: 14 November 2023

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

integrabilitywalking dropletexternal drag forcepilot-wave dynamicsquantised criterion

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Stability of solutions to ordinary differential equations (34D20) Explicit solutions, first integrals of ordinary differential equations (34A05) Waves for incompressible viscous fluids (76D33)

Cites Work

• Galoisian obstruction to the integrability of general dynamical systems
• The completely integrable differential systems are essentially linear differential systems
• Galoisian obstructions to non-Hamiltonian integrability
• An algorithm for solving second order linear homogeneous differential equations
• Kovacic's algorithm and its application to some families of special functions
• Extended integrability and bi-Hamiltonian systems
• Bifurcations and chaos in a Lorenz-like pilot-wave system
• Drops walking on a vibrating bath: towards a hydrodynamic pilot-wave theory
• Meromorphic and formal first integrals for the Lorenz system
• A Lemma in the Theory of Structural Stability of Differential Equations
• Algebraic Groups and Algebraic Dependence
• Differential Galois theory and non-integrability of Hamiltonian systems

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