In this study, we presented the problem formulations of models for internal solitary waves in
a stratified shear flow with a free surface. The nonlinear higher order of extended KdV …

The problem formulations of models for internal solitary waves in a stratified shear flow with
a free surface are presented. Solitary waves solutions are generated by deriving the …

In this article, we study the nonlinear higher order of extended KdV equation with free
surface displacement. The modified exponential rational function method is used in order to …

We consider the linear stability of an inviscid parallel shear flow of air over water with gravity
and capillarity. The velocity profile in the air is monotonically increasing upwards from the …

Homboe (Geophys. Publ., vol. 24, 1962, pp. 67–112) postulated that resonant interaction
between two or more progressive, linear interfacial waves produces exponentially growing …

We present a linear optimal perturbation analysis of streamwise invariant disturbances
evolving in parallel round jets. The potential for transient energy growth of perturbations with …

We study magnetorotational instability (MRI) using nonmodal stability techniques. Despite
the spectral instability of many forms of MRI, this proves to be a natural method of analysis …

Weakly nonlinear theory is used to explore the effect of vertical shear on surface gravity
waves in three dimensions. An idealized piecewise-linear shear profile motivated by wind …

Highly stratified shear layers are rendered unstable even at high stratifications by Holmboe
instabilities when the density stratification is concentrated in a small region of the shear …

The temporal evolution of the linear diocotron instability of the cylindrical annular plasma
column is investigated by employing the extension of the shearing modes methodology to …