Formation of optical soliton wave profiles of Shynaray-IIA equation via two improved techniques: a comparative study
This study employs the new extended direct algebraic method and improved sardar sub-
equation method to investigate solitary wave solutions in the Shynaray-IIA equation, which …
equation method to investigate solitary wave solutions in the Shynaray-IIA equation, which …
Discovering novel soliton solutions for (3+ 1)-modified fractional Zakharov–Kuznetsov equation in electrical engineering through an analytical approach
In recent years, the modified Extended Direct Algebraic Method (mEDAM) has demonstrated
to be an effective method for finding novel soliton solutions to nonlinear Fractional Partial …
to be an effective method for finding novel soliton solutions to nonlinear Fractional Partial …
A novel approach for solving linear and nonlinear time-fractional Schrödinger equations
There is significant literature on Schrödinger differential equation (SDE) solutions, where the
fractional derivatives are stated in terms of Caputo derivative (CD). There is hardly any work …
fractional derivatives are stated in terms of Caputo derivative (CD). There is hardly any work …
[HTML][HTML] Computational investigation on a nonlinear dispersion model with the weak non-local nonlinearity in quantum mechanics
Y Jiang, F Wang, SA Salama, T Botmart, MMA Khater - Results in Physics, 2022 - Elsevier
In the presence of nonlinear dispersion, we examine certain solitary wave solutions of a
dimensionless nonlinear Schrödinger (DLNLS) equation with the parabolic law of …
dimensionless nonlinear Schrödinger (DLNLS) equation with the parabolic law of …
The Laplace optimized decomposition method for solving systems of partial differential equations of fractional order
In this paper, a new hybrid technique Laplace optimized decomposition method (LODM) had
been proposed to construct the approximate solution of the nonlinear system of fractional …
been proposed to construct the approximate solution of the nonlinear system of fractional …
Analytical soliton solutions for the (2+ 1)-perturbed and higher order cubic–quintic nonlinear Schrödinger equations
R Ahmad, A Javid - Optical and Quantum Electronics, 2023 - Springer
In this paper, a comprehensive analysis of traveling wave solutions of two nonlinear
Schrödinger type equations are carried out with help of three different integration techniques …
Schrödinger type equations are carried out with help of three different integration techniques …
Investigation of travelling wave solutions for the (3+ 1)-dimensional hyperbolic nonlinear Schrödinger equation using Riccati equation and F-expansion techniques
Abstract The (3+ 1)-dimensional hyperbolic nonlinear Schrödinger equation (HNLS) is used
as a model for different physical phenomena such as the propagation of electromagnetic …
as a model for different physical phenomena such as the propagation of electromagnetic …
On some optical soliton structures to the Lakshmanan-Porsezian-Daniel model with a set of nonlinearities
In this work, the Lakshmanan-Porsezian-Daniel model is investigated which is the
generalization of the non-linear Schrödinger model, to describes the dynamical behavior of …
generalization of the non-linear Schrödinger model, to describes the dynamical behavior of …
Some new optical solitary waves solutions of a third order dispersive Schrödinger equation with Kerr nonlinearity using an efficient approach associated with Riccati …
This manuscript delves into the exploration of a third-order dispersive Schrödinger equation
incorporating Kerr nonlinear effects, a common model employed for the transmission of …
incorporating Kerr nonlinear effects, a common model employed for the transmission of …
Analysis of time-fractional Schrödinger equation with group velocity dispersion coefficients and second-order spatiotemporal effects: a new Kudryashov approach
MAS Murad - Optical and Quantum Electronics, 2024 - Springer
This study investigates the application of the novel Kudryashov approach to a time-fractional
nonlinear Schrödinger model featuring second-order spatiotemporal and group velocity …
nonlinear Schrödinger model featuring second-order spatiotemporal and group velocity …