21 citations · 40 across the 5 of their papers we have counts for
6 papers
The Extended KdV Equation: Augmented Lagrangian and Variational Solitary Waves with Applications to Dispersive Hydrodynamics
Saleh Baqer, Hamid Said
In this work, we extend the method of averaged Lagrangian to the study of the general second-order (non-conservative) extended Korteweg--de Vries equation, known as the eKdV equati…
A study of variational single solitary waves governed by the conservative-extended KdV equation with applications to shallow water dispersive shocks
Saleh Baqer, Hamid Said
The extended KdV equation is a nonlinear dispersive wave model that is asymptotically or variationally derived from the full dispersive Euler shallow water waves equations when gra…
On shallow water non-convex dispersive hydrodynamics: the extended KdV model
Saleh Baqer, Theodoros P. Horikis, Dimitrios J. Frantzeskakis
In this work, we investigate non-classical wavetrain formations, and particularly dispersive shock waves (DSWs), or undular bores, in systems exhibiting non-convex dispersion. Our…
Solitons, dispersive shock waves and Noel Fredrick Smyth
Saleh Baqer, Tim Marchant, Gaetano Assanto +2
Noel Frederick Smyth (NFS), a Fellow of the Australian Mathematical Society and a Professor of Nonlinear Waves in the School of Mathematics at the University of Edinburgh, passed a…
Modulation theory and resonant regimes for dispersive shock waves in nematic liquid crystals
Saleh Baqer, Noel F. Smyth
A full analysis of all regimes for optical dispersive shock wave (DSW) propagation in nematic liquid crystals is undertaken. These dispersive shock waves are generated from step in…
On The Space-Time Fractional Schrödinger Equation with time independent potentials
Saleh Baqer, Lyubomir Boyadjiev
This paper is about the fractional Schrödinger equation (FSE) expressed in terms of the quantum Riesz-Feller space fractional and the Caputo time fractional derivatives. The main f…