Application of mathematical methods on the system of dynamical equations for the ion sound and Langmuir waves

AR Seadawy, D Lu, M Iqbal - Pramana, 2019 - Springer
We investigated the new exact travelling wave solutions of the system of equations for the
ion sound and Langmuir waves (SEISLWs). In this work, we use the extended form of two …

Study of breathers, rogue waves and lump solutions for the nonlinear chains of atoms

S Ahmed, AR Seadawy, STR Rizvi - Optical and Quantum Electronics, 2022 - Springer
This article consist of a number of new soliton solutions for solving a complex nonlinear
equation describing dynamics of nonlinear chains of atoms with long-range interactions via …

Novel simulations to the time-fractional Fisher's equation

P Veeresha, DG Prakasha, HM Baskonus - Mathematical Sciences, 2019 - Springer
In the present work, an efficient numerical technique, called q-homotopy analysis transform
method (briefly, q q-HATM), is applied to nonlinear Fisher's equation of fractional order. The …

Analytical study of resonant optical solitons with variable coefficients in Kerr and non-Kerr law media

N Raza, MR Aslam, H Rezazadeh - Optical and Quantum Electronics, 2019 - Springer
In this article, the extended trial approach has been used for the investigation of traveling
wave solutions of resonant nonlinear Schrödinger equation with variable coefficients …

Conservation laws, solitary wave solutions, and lie analysis for the nonlinear chains of atoms

M Junaid-U-Rehman, G Kudra, J Awrejcewicz - Scientific Reports, 2023 - nature.com
Nonlinear chains of atoms (NCA) are complex systems with rich dynamics, that influence
various scientific disciplines. The lie symmetry approach is considered to analyze the NCA …

Lie symmetry analysis and conservation laws with soliton solutions to a nonlinear model related to chains of atoms

STR Rizvi, AR Seadawy, A Bashir, Nimra - Optical and Quantum …, 2023 - Springer
We present the Lie symmetry analysis for the famous nonlinear equation describing chains
of atoms with long range interaction. We also study the conservation laws by computing the …

[HTML][HTML] Singular solitons in the pseudo-parabolic model arising in nonlinear surface waves

OA Ilhan, A Esen, H Bulut, HM Baskonus - Results in physics, 2019 - Elsevier
This manuscript aims to construct a family of travelling wave solutions to the high
nonlinearity differential equation for obtaining new hyperbolic function solutions by using an …

Discussion on couple of nonlinear models for lie symmetry analysis, self adjointees, conservation laws and soliton solutions

N Aziz, K Ali, AR Seadawy, A Bashir… - Optical and Quantum …, 2023 - Springer
In this article, we will mainly focus on finding the Lie symmetries of a couple of models like
the famous generalized mixed nonlinear Schrödinger equation and Degasperis Procesi …

Dispersive optical soliton solutions of the higher-order nonlinear Schrödinger dynamical equation via two different methods and its applications

E Tala-Tebue, AR Seadawy… - The European Physical …, 2018 - Springer
In this paper, we apply two methods which are the arbitrary nonlinear parameters and the
exponential rational function method to construct many new exact solutions of the higher …

[HTML][HTML] New periodic wave, cross-kink wave and the interaction phenomenon for the Jimbo–Miwa-like equation

R Zhang, S Bilige, T Fang, T Chaolu - Computers & Mathematics with …, 2019 - Elsevier
By means of symbolic computation with the help of Maple, diverse of exact solutions for the
Jimbo–Miwa-like equation are successfully derived, based on the generalized bilinear …