A. L. Bertozzi and M. Pugh, “The Lubrication Approximation for Thin Viscous Films: Regularity and Long-Time Behavior of Weak Solutions,” Communications on Pure and Applied Mathematics, Vol. 49, No. 2, 1996, pp. 85-123. doi:10.1002/(SICI)1097-0312(199602)49:2<85::AID-CPA1>3.0.CO;2-2

has been cited by the following article:

• TITLE: Classic and Non-Classic Soliton Like Structures for Traveling Nerve Pulses

  AUTHORS: Fidel Contreras, Hilda Cervantes, Máximo Aguero, Ma. de Lourdes Najera

  KEYWORDS: Compactons; Nonlinear Waves; Solitons; Nerve Pulse; Molecular Waves

  JOURNAL NAME: International Journal of Modern Nonlinear Theory and Application, Vol.2 No.1, March 13, 2013

  ABSTRACT: After some reduction procedure made on the nonlinear evolution equation for nerve pulses, based on thermodynamic principles, new classic and non-classic traveling solutions have been obtained. We have studied this model for particular values in the parameter space, and obtained both the bell and compacton like solutions. These nonlinear traveling waves could be responsible for transmitting efficiently the necessary information along the axons. The non-classic structures named as compactons, due to their robust configuration, could be considered in some sense a more realistic type of nonlinear chargers of information. The last solutions do not have tails and as adiabatic waves could propagate along the nerve with constant velocity that could be equal, smaller or higher than the sound velocity.