Nerve pulse propagation in biological membranes: Solitons and other invariant solutions

作者：Cimpoiasu Rodica^*

来源：International Journal of Biomathematics, 2016, 9(5): 1650075.

DOI：10.1142/S1793524516500753

• Generalized Boussinesq equation
• generalized conditional symmetries
• invariant solutions
• Riccati equation
• solitary solutions

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.

• 出版日期2016-9