Nerve pulse propagation in biological membranes： Solitons and other invariant solutions
Nerve pulse propagation in biological membranes： Solitons and other invariant solutions
摘要
We investigate a generalized form of the Boussinesq equation, relevant for nerve pulse propagation in biological membranes. The generalized conditional symmetry （GCS） method is applied in order to obtain the conditions that enable the equation to admit a special class of second-order GCSs. For the case of quadratic nonlinearities, we outline a new class of invariant solutions.
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