Ermakov-Painlevé II symmetry reduction of a Korteweg capillarity system
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Publication:517714
DOI10.3842/SIGMA.2017.018zbMath1380.37133arXiv1701.03238MaRDI QIDQ517714
Peter A. Clarkson, Colin Rogers
Publication date: 27 March 2017
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.03238
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) NLS equations (nonlinear Schrödinger equations) (35Q55) Capillarity (surface tension) for incompressible viscous fluids (76D45) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Painlevé-type functions (33E17)
Related Items (4)
Reciprocal gausson phenomena in a Korteweg capillarity system ⋮ On modulated coupled systems. Canonical reduction via reciprocal transformations ⋮ On modulated multi-component NLS systems: Ermakov invariants and integrable symmetry reduction ⋮ On Modulated NLS-Ermakov Systems
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