Integrable Substructure in a Korteweg Capillarity Model. A Karman-Tsien Type Constitutive Relation

DOI10.1080/14029251.2014.894721zbMath1420.35377OpenAlexW2010657855MaRDI QIDQ5230937

Colin Rogers

Publication date: 29 August 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14029251.2014.894721

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51)

Related Items (9)

On the Lagrangian version of the Korteweg capillarity system: integrability aspects ⋮ On Madelung systems in nonlinear optics: A reciprocal invariance ⋮ The Korteweg capillarity system. Integrable reduction via gauge and reciprocal links ⋮ Reciprocal gausson phenomena in a Korteweg capillarity system ⋮ On a Novel Resonant Ermakov-NLS System: Painlevé Reduction ⋮ Ermakov-Painlevé II symmetry reduction of a Korteweg capillarity system ⋮ On relativistic gasdynamics: invariance under a class of reciprocal-type transformations and integrable Heisenberg spin connections ⋮ Ermakov-Painlevé II Reduction in Cold Plasma Physics. Application of a Bäcklund Transformation ⋮ On invariance in \(1+1\)-dimensional isentropic relativistic gasdynamics

Cites Work

• Unnamed Item
• Unnamed Item
• Planar traveling waves in capillary fluids.
• Painlevé analysis and exact solutions of the resonant Davey-Stewartson system
• Bäcklund transformations and their applications
• Multi-component Ermakov systems: Structure and linearization
• Solitary waves in dispersive complex media. Theory, simulation, applications.
• Generation of solutions of systems of partial differential equations by composition of infinitesimal Bäcklund transformations
• The pulsrodon in 2+1-dimensional magneto-gasdynamics: Hamiltonian structure and integrability
• Ermakov-Ray-Reid Systems in (2+1)-Dimensional Rotating Shallow Water Theory
• Ermakov–Ray–Reid systems in nonlinear optics
• On the integrability of a Hamiltonian reduction of a 2+1-dimensional non-isothermal rotating gas cloud system
• On a 2+1-Dimensional Whitham-Broer-Kaup System: A Resonant NLS Connection
• Madelung, Gross–Pitaevskii and Korteweg
• Ermakov systems, nonlinear superposition, and solutions of nonlinear equations of motion
• Ermakov systems of arbitrary order and dimension: structure and linearization
• A note on a capillarity model and the nonlinear Schrödinger equation
• On (2+1)-dimensional Ermakov systems
• On generalized Loewner systems: Novel integrable equations in 2+1 dimensions
• Elliptical vortices and integrable Hamiltonian dynamics of the rotating shallow-water equations
• Ermakov–Ray–Reid Reductions of Variational Approximations in Nonlinear Optics
• On a (2+1)-dimensional Madelung system with logarithmic and with Bohm quantum potentials: Ermakov reduction
• RESONANCE SOLITONS AS BLACK HOLES IN MADELUNG FLUID
• On a Boussinesq Capillarity System: Hamiltonian Reductions and Associated Quartic Geometries
• The Kármán-Tsien pressure-volume relation in the two-dimensional supersonic flow of compressible fluids
• Two-Dimensional Subsonic Flow of Compressible Fluids
• A note on a Korteweg fluid and the hydrodynamic form of the logarithmic Schrödinger equation

This page was built for publication: Integrable Substructure in a Korteweg Capillarity Model. A Karman-Tsien Type Constitutive Relation