[HTML][HTML] New soliton solutions for the space-time fractional modified third order Korteweg–de Vries equation

HU Rehman, M Inc, MI Asjad, A Habib… - Journal of Ocean …, 2022 - Elsevier
In present research work, the soliton solutions of the space-time fractional modified third
order Korteweg–de Vries (KdV) equation are explored by Sardar-subequation method …

[HTML][HTML] Abundant solitary wave solutions for space-time fractional unstable nonlinear Schrödinger equations and their applications

A Sarwar, T Gang, M Arshad, I Ahmed… - Ain Shams Engineering …, 2023 - Elsevier
The unstable nonlinear Schrödinger models illustrate the time evolution of disturbances in
marginally stable or unstable media. In this article, an improved auxiliary equation method is …

Exploring the dynamical behaviour of optical solitons in integrable kairat-II and kairat-X equations

Y Xiao, S Barak, M Hleili, K Shah - Physica Scripta, 2024 - iopscience.iop.org
The current research focusses on the establishment of an analytical approach known as the
Riccati Modified Extended Simple equation Method (RMESEM) for the development and …

Adequate soliton solutions to the space–time fractional telegraph equation and modified third-order KdV equation through a reliable technique

MA Arefin, U Sadiya, M Inc, MH Uddin - Optical and Quantum Electronics, 2022 - Springer
The space–time fractional Telegraph equation and the space–time fractional modified third-
order Kdv equations are significant molding equations in theoretic physics, mathematical …

Diverse acoustic wave propagation to confirmable time–space fractional KP equation arising in dusty plasma

AR Seadawy, M Younis, MZ Baber… - Communications in …, 2021 - iopscience.iop.org
Abstract In this study, the (3+ 1)-dimensional fractional time–space Kadomtsev–Petviashivili
(FTSKP) equation is considered and analyzed analytically, which propagates the acoustic …

[HTML][HTML] Analytical novel solutions to the fractional optical dynamics in a medium with polynomial law nonlinearity and higher order dispersion with a new local …

H Yépez-Martínez, MMA Khater, H Rezazadeh, M Inc - Physics Letters A, 2021 - Elsevier
Novel solutions for the nonlinear dynamics of Schrödinger equation for polynomial law
medium with third-order dispersion (TOD), fourth-order dispersion (FOD), and self …

Novel soliton solutions of two-mode sawada-kotera equation and its applications

A Oad, M Arshad, M Shoaib, D Lu, X Li - IEEE Access, 2021 - ieeexplore.ieee.org
The Sawada-Kotera equations illustrate the non-linear wave phenomena in shallow water,
ion-acoustic waves in plasmas, fluid dynamics, etc. In this article, the two-mode Sawada …

Construction of novel bright-dark solitons and breather waves of unstable nonlinear Schrödinger equations with applications

A Sarwar, M Arshad, M Farman, A Akgül, I Ahmed… - Symmetry, 2022 - mdpi.com
The unstable nonlinear Schrödinger equations (UNLSEs) are universal equations of the
class of nonlinear integrable systems, which reveal the temporal changing of disruption in …

Closed-form solutions of stochastic KdV equation with generalized conformable derivatives

AH Soliman, AA Hyder - Physica Scripta, 2020 - iopscience.iop.org
With the assistance of Hermite transform, we use the Exp-function technique to solve the
Wick-type stochastic KdV equation with a generalized type of conformable derivatives. The …

Novel traveling wave solutions and stability analysis of perturbed Kaup-Newell Schrödinger dynamical model and its applications

X Qian, D Lu, M Arshad, K Shehzad - Chinese Physics B, 2021 - iopscience.iop.org
We study the traveling wave and other solutions of the perturbed Kaup–Newell Schrödinger
dynamical equation that signifies long waves parallel to the magnetic field. The wave …