[PDF][PDF] Reliable study of some new fifth-order nonlinear equations by means of (G′/G)-expansion method and rational sine-cosine method

A Qawasmeh, M Alquran - Applied mathematical sciences, 2014 - academia.edu
In this paper, we investigate the traveling wave solutions for some new fifth-order partial
differential equations introduced by Wazwaz in [1]. We use the G//G expansion method to …

[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 …

Dynamism of two-mode's parameters on the field function for third-order dispersive Fisher: application for fibre optics

M Alquran, O Yassin - Optical and Quantum Electronics, 2018 - Springer
Two-mode equations model the spread of two different wave modes simultaneously. A new
two-mode dispersive Fisher of third order (TMDF) is proposed and different types of …

[PDF][PDF] Approximate solutions to the generalized time-fractional Ito system

HM Jaradat, I Jaradat, M Alquran… - Ital. J. Pure Appl …, 2017 - researchgate.net
In this work, we consider the time-fractional version of the well-known integrable Ito system
to study the effect of its fractional index” memory index”. A modified approach of a relatively …

[PDF][PDF] Constructing new solutions for some types of two-mode nonlinear equations

O Yassin, M Alquran - Appl. Math. Inf. Sci, 2018 - naturalspublishing.com
In this work we investigated further solutions of new family of nonlinear two-mode equations.
We considered the two-mode Sharma-Tasso-Olver (TMSTO) equation and two-mode fourth …

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 …

Solving the space-time fractional burger's and the fifth-order sawda-kotera equations using the fractional sub-equation method

WM Alhamdan, LA Wazzan… - British Journal of …, 2016 - journal.repositoryarticle.com
In this paper, a fractional sub-equation method is proposed for finding exact solutions of the
space–time fractional Burger's equation and the space-time fractional fifth-order Sawda …

Soliton solutions for the time fractional Hamiltonian system by various approaches

O Guner, A Bekir - Iranian Journal of Science and Technology …, 2018 - Springer
In this paper, we apply the Ansatz method, the exp-function method and the\left (G^'G\right)
G′ G-expansion method to establish the exact solutions of the time fractional Hamiltonian …

[PDF][PDF] On the linear quadratic dynamic optimization problems with fixed-levels control functions

V Azhmyakov, LAG Trujillo - Italian Journal of Pure and Applied …, 2017 - academia.edu
This paper deals with a constrained LQ-type optimal control problem (OCP) in the presence
of fixed levels input restrictions. We consider control processes governed by linear …