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The Hodgkin and Huxley equations model action potentials in squid giant axons. Variants of
these equations are used in most models for electrical activity of excitable membranes.
Computational tools...
On nonclassical symmetries of generalized Huxley equations
contribution to the Proceedings of 5th Workshop "Group Analysis of Differential Equations and Integrable Systems" (4 - 10 June 2010, Protaras, Cyprus)
2010/11/10
Nonclassical symmetries of a class of generalized Huxley equations of form $u_t=u_{xx}+k(x)u^2(1-u)$ are found. More precisely, for the class under consideration we completely classify reduction opera...