Abundant novel solitary wave Solutions of two-mode Sawada-Kotera model
and its Applications
Abstract
The Sawada-Kotera equations illustrating the non-linear wave phenomena
in shallow water, ion-acoustic waves in plasmas, fluid dynamics etc. In
this article, the two-mode Sawada-Kotera equation (tmSKE) occurring in
fluid dynamics is addresses. The improved F-expansion and generalized
exp$(-\phi(\zeta))$-expansion methods
are utilized in this model and abundant of solitary wave solutions of
different kinds such as bright and dark solitons, multi peak soliton,
breather type waves, periodic solutions and other wave results are
obtained. These achieved abundant novel solitary and other wave results
have significant applications in fluid dynamics, applied sciences and
engineering. By granting appropriate values to parameters, the
structures of few results are presented in which many structures are
novel. The graphical moments of few solutions helps the engineers and
scientist for understanding the physical phenomena of this model. To
explain the novelty between the present results and the previously
attained results, a comparative study has been carried out. Furthermore,
the executed techniques can be employed for further studies to explain
the realistic phenomena arising in fluid dynamics correlated with any
physical and engineering problems.