In this work
, the
( )
(
)
exp
φξ
−
-
expansion method is used for the first time to
investigate the exact
traveling wave solutions involving parameters of nonlinear evolution
equations. When these p
a-
rameters are taken to be special values,
the solitary wave solutions
are derived from the exact
traveling wave solutions. The validity and reliability of the method
are
tested by its applica
tions to
Nano
-ionic solitons
wave
’s propagation along microtubules
in living cells and Nano
-ionic currents
of MTs which play an important role in biology
.