Lie point symmetries and reductions of one-dimensional equations describing perfect Korteweg-type nematic fluids

DOI10.1063/1.3694250zbMath1274.76147OpenAlexW2044344940MaRDI QIDQ2861742

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Publication date: 11 November 2013

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

Full work available at URL: https://doi.org/10.1063/1.3694250

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Applications of Lie groups to the sciences; explicit representations (22E70) Liquid crystals (76A15) Classical and relativistic thermodynamics (80A10) Fredholm integral equations (45B05) Variational principles of physics (49S05) Traveling wave solutions (35C07)

Cites Work

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• Some constitutive equations for liquid crystals
• Nonlinear stability of fluid and plasma equilibria
• Hamiltonian PDEs: deformations, integrability, solutions
• Multiscale Expansion and Integrability of Dispersive Wave Equations
• A simple model of the integrable Hamiltonian equation
• Subalgebras of real three- and four-dimensional Lie algebras

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