The classical Korteweg capillarity system: geometry and invariant transformations

DOI10.1088/1751-8113/47/34/345201zbMath1304.35652OpenAlexW2083445701MaRDI QIDQ3190826

Colin Rogers, Wolfgang K. Schief

Publication date: 19 September 2014

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

Full work available at URL: https://doi.org/10.1088/1751-8113/47/34/345201

zbMATH Keywords

geometryinvariant transformationcapillarity system

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)

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On the Lagrangian version of the Korteweg capillarity system: integrability aspects ⋮ The Korteweg capillarity system. Integrable reduction via gauge and reciprocal links ⋮ Reciprocal gausson phenomena in a Korteweg capillarity system ⋮ On a class of reciprocal Stefan moving boundary problems ⋮ Ermakov-Painlevé II symmetry reduction of a Korteweg capillarity system ⋮ Moving Boundary Problems for Heterogeneous Media. Integrability via Conjugation of Reciprocal and Integral Transformations ⋮ On modulated multi-component NLS systems: Ermakov invariants and integrable symmetry reduction ⋮ On Stefan-type moving boundary problems with heterogeneity: canonical reduction via conjugation of reciprocal transformations ⋮ On invariance in \(1+1\)-dimensional isentropic relativistic gasdynamics

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