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

@article{Rogers2014IntegrableSI,
  title={Integrable Substructure in a Korteweg Capillarity Model. A Karman-Tsien Type Constitutive Relation},
  author={Colin Rogers},
  journal={Journal of Nonlinear Mathematical Physics},
  year={2014},
  volume={21},
  pages={74 - 88}
}
  • C. Rogers
  • Published 2 January 2014
  • Mathematics
  • Journal of Nonlinear Mathematical Physics
A classical Korteweg capillarity system with a Karman-Tsien type (κ, ρ) constitutive relation is shown, via a Madelung transformation and use of invariants of motion, to admit integrable Hamiltonian subsystems. 
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