Abstract: In this article, we
construct the solutions of type solitary waves of the equations of
Kuramoto-Sivashinsky by the method of identification and annulment of the
coefficients of the terms in and where and l
take the values This method of
analysis that appears complicated is very much interesting. It combines the
terms in cosh, sinh and tanh of which the mastery of the properties allows us to
propose some solitary waves solutions. These solitary wave solutions are gotten
in this work, for weak group velocities.
Keywords and phrases: modified Kuramoto-Sivashinsky equation, solitary waves, method of identification and annulment of the coefficients.
