Symmetry analysis of an equation for constrained optimal transport, modelling the distribution of ants round a nest

DOI10.1016/j.amc.2003.08.067zbMath1063.92056OpenAlexW2042786995MaRDI QIDQ1888273

H. Laurie, Ebrahim Momoniat

Publication date: 23 November 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.08.067

zbMATH Keywords

Lie point symmetriesgroup invariant solutions

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Animal behavior (92D50) General higher-order partial differential equations and systems of higher-order partial differential equations (35G99)

Uses Software

• DIMSYM
• LIE

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Symmetry analysis of differential equations with MATHEMATICA
• DIMSYM and LIE: Symmetry determination packages
• The geometry of optimal transportation
• Maximal flow through a domain
• Differential equations methods for the Monge-Kantorovich mass transfer problem
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries
• LIE, a PC program for Lie analysis of differential equations
• LIE, a PC program for Lie analysis of differential equations