A new simplified bilinear method for the N-soliton solutions for a generalized FmKdV equation with time-dependent variable coefficients

M Alquran, HM Jaradat, S Al-Shara… - International Journal of …, 2015 - degruyter.com
In this paper a generalized fractional modified Korteweg–de Vries (FmKdV) equation with
time-dependent variable coefficients, which is a generalized model in nonlinear lattice …

[PDF][PDF] Controllable dynamical behaviors and the analysis of fractal burgers hierarchy with the full effects of inhomogeneities of media

HM Jaradat, F Awawdeh, S Al-Shara, M Alquran… - Rom. J. Phys, 2015 - rjp.nipne.ro
The aim of this work is three fold. First, via a fractional complex transformation and a
simplified bilinear method, N-shock-wave solutions for the variable-coefficient fractal …

[HTML][HTML] Two-mode coupled Burgers equation: multiple-kink solutions and other exact solutions

HM Jaradat - Alexandria engineering journal, 2018 - Elsevier
In this paper, we establish a new two-mode coupled Burgers equation (TMCBE). The
necessary conditions that make the multiple kink solutions and the multiple singular kink …

New solitary wave and multiple soliton solutions for the time-space coupled fractional mKdV system with time-dependent coefficients

HM Jaradat, S Al-Shara, MM Jaradat… - Journal of …, 2016 - ingentaconnect.com
In this paper, a simplified bilinear method combined with a fractional transform has been
used to obtain new multiple soliton solutions for the Fractional coupled modified KdV …

New multiple-kink solutions and singular-kink-Solutions of (2+ 1)-Dimensional Coupled Burgers System with time variable coefficients

HM Jaradat, F Shatat, MM Jaradat… - … of Computational and …, 2017 - ingentaconnect.com
In this paper, we show that the (2+ 1)-dimensional coupled Burgers system with time
variable coefficients which arise in engineering, chemistry, chemical physics, plasma …