Ion acoustic solitary wave solutions of two‐dimensional nonlinear Kadomtsev–Petviashvili–Burgers equation in quantum plasma

AR Seadawy - Mathematical Methods in the Applied Sciences, 2017 - Wiley Online Library
Propagation of two‐dimensional nonlinear ion‐acoustic solitary waves and shocks in a
dissipative quantum plasma is analyzed. By applying the reductive perturbation theory, the …

Comparison between the (G'/G)-expansion method and the modified extended tanh method

Ş Akçaği, T Aydemir - Open Physics, 2016 - degruyter.com
In this paper, firstly, we give a connection between well known and commonly used methods
called the (G'G)-expansion method and the modified extended tanh method which are often …

Synchronized wave and modulation instability gain induce by the effects of higher-order dispersions in nonlinear optical fibers

S Abbagari, A Houwe, L Akinyemi, M Inc… - Optical and Quantum …, 2022 - Springer
This work examines the effects of the higher-order dispersion (HOD) on modulated waves
and modulation instability (MI) gain by using the perturbed nonlinear Schrödinger equation …

W-shape bright and several other solutions to the (3+ 1)-dimensional nonlinear evolution equations

Y Saliou, S Abbagari, A Houwe, MS Osman… - … Physics Letters B, 2021 - World Scientific
By employing the Modified Sardar Sub-Equation Method (MSEM), several solitons such as
W-shape bright, dark solitons, trigonometric function solutions and singular function …

Dispersive solitary wave solutions of nonlinear further modified Korteweg–de Vries dynamical equation in an unmagnetized dusty plasma

M Iqbal, AR Seadawy, D Lu - Modern Physics Letters A, 2018 - World Scientific
In this work, we consider the propagation of one-dimensional nonlinear unmagnetized dusty
plasma, by using the reductive perturbation technique to formulate the nonlinear …

[HTML][HTML] Travelling wave solutions of the generalized nonlinear fifth-order KdV water wave equations and its stability

AR Seadawy, D Lu, C Yue - Journal of Taibah University for Science, 2017 - Elsevier
In the present study, by implementing the direct algebraic method, we present the traveling
wave solutions for some different kinds of the Korteweg–de Vries (KdV) equations. The exact …

A note on the G′/G-expansion method

NA Kudryashov - Applied Mathematics and Computation, 2010 - Elsevier
We demonstrate that the G′/G-expansion method which is often used in finding exact
solutions of nonlinear differential equation is equivalent to the well-known tanh-method and …

Clout of fractional time order and magnetic coupling coefficients on the soliton and modulation instability gain in the Heisenberg ferromagnetic spin chain

A Houwe, S Abbagari, SY Doka, M Inc… - Chaos, Solitons & …, 2021 - Elsevier
In this paper we utilize the auxiliary equation method to show the leverage of the fractional
derivative parameter and the Magnetic Coupling Coefficients (MCC) on the procured soliton …

[图书][B] Separation of variables and exact solutions to nonlinear PDEs

AD Polyanin, AI Zhurov - 2021 - taylorfrancis.com
Separation of Variables and Exact Solutions to Nonlinear PDEs is devoted to describing and
applying methods of generalized and functional separation of variables used to find exact …

Dispersive optical soliton solutions for higher order nonlinear Sasa-Satsuma equation in mono mode fibers via new auxiliary equation method

MMA Khater, AR Seadawy, D Lu - Superlattices and Microstructures, 2018 - Elsevier
In this research, we apply new technique for higher order nonlinear Schrödinger equation
which is representing the propagation of short light pulses in the monomode optical fibers …