Journal of Nonlinear Mathematical Physics

Volume 21, Issue 1, February 2014, Pages 74 - 88

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

Authors
Colin Rogers
Australian Research Council Centre of Excellence for Mathematics & Statistics of Complex Systems, School of Mathematics, The University of New South Wales, Sydney, NSW2052, Australia
Australian Research Council Centre of Excellence for Mathematics & Statistics of Complex Systems, School of Mathematics and Statistics, University of New South Wales, Sydney, NSW, Australia.c.rogers@unsw.edu.au
Received 30 September 2013, Accepted 28 November 2013, Available Online 6 January 2021.
DOI
10.1080/14029251.2014.894721How to use a DOI?
Abstract

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.

Copyright
© 2014 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
21 - 1
Pages
74 - 88
Publication Date
2021/01/06
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1080/14029251.2014.894721How to use a DOI?
Copyright
© 2014 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Colin Rogers
PY  - 2021
DA  - 2021/01/06
TI  - Integrable Substructure in a Korteweg Capillarity Model. A Karman-Tsien Type Constitutive Relation
JO  - Journal of Nonlinear Mathematical Physics
SP  - 74
EP  - 88
VL  - 21
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.1080/14029251.2014.894721
DO  - 10.1080/14029251.2014.894721
ID  - Rogers2021
ER  -