Nondegenerate solitons of 2-coupled mixed derivative nonlinear Schrödinger equations

KL Geng, DS Mou, CQ Dai - Nonlinear Dynamics, 2023 - Springer
The nondegenerate vector one-soliton and two-soliton solutions of the 2-coupled mixed
derivative nonlinear Schrödinger equation are acquired by the Hirota bilinear method. The …

Phase portraits and multiple optical solitons perturbation in optical fibers with the nonlinear Fokas–Lenells equation

L Tang - Journal of Optics, 2023 - Springer
Abstract The nonlinear Fokas–Lenells system is a popular model which can be wildly
applied in the fields of heat pulses in solids, signal processing, circulation system of …

Data-driven forward-inverse problems of the 2-coupled mixed derivative nonlinear Schrödinger equation using deep learning

WX Qiu, KL Geng, BW Zhu, W Liu, JT Li, CQ Dai - Nonlinear Dynamics, 2024 - Springer
In recent years, generative adversarial networks (GAN) has achieved great success in
generating realistic images. However, the instability of GAN and the lower accuracy of …

[HTML][HTML] Propagation of optical pulses in fiber optics modelled by coupled space-time fractional dynamical system

N Nasreen, D Lu, Z Zhang, A Akgül, U Younas… - Alexandria Engineering …, 2023 - Elsevier
This article focuses on securing distinct optical solitons to optical fiber with the coupled
nonlinear Schrödinger equation. The examined equation is analyzed with the aid of …

[HTML][HTML] Auxiliary equation method for time-fractional differential equations with conformable derivative

A Akbulut, M Kaplan - Computers & Mathematics with Applications, 2018 - Elsevier
In this paper, the auxiliary equation method is applied to obtain analytical solutions of (2+ 1)-
dimensional time-fractional Zoomeron equation and the time-fractional third order modified …

New optical solitons of nonlinear conformable fractional Schrödinger-Hirota equation

H Rezazadeh, SM Mirhosseini-Alizamini, M Eslami… - Optik, 2018 - Elsevier
In this article, an amelioration of the approaches namely the new extended direct algebraic
method for solving the nonlinear conformable fractional Schrödinger-Hirota equation (FSHE) …

On the shock wave approximation to fractional generalized Burger–Fisher equations using the residual power series transform method

SA El-Tantawy, RT Matoog, R Shah, AW Alrowaily… - Physics of …, 2024 - pubs.aip.org
The time-fractional generalized Burger–Fisher equation (TF-GBFE) has various applications
across various scientific and engineering disciplines. It is used for investigating various …

[HTML][HTML] Nonlocal Hadamard fractional boundary value problem with Hadamard integral and discrete boundary conditions on a half-line

G Wang, K Pei, RP Agarwal, L Zhang… - Journal of computational …, 2018 - Elsevier
This article investigates a new class of boundary value problems of one-dimensional lower-
order nonlinear Hadamard fractional differential equations and nonlocal multi-point discrete …

Bifurcations and dispersive optical solitons for the nonlinear Schrödinger–Hirota equation in DWDM networks

L Tang - Optik, 2022 - Elsevier
The main purpose of this paper is to study the dynamical behaviors and optical solitons in
DWDM networks with Schrödinger–Hirota equation. First of all, the Schrödinger–Hirota …

The modified extended tanh method with the Riccati equation for solving the space-time fractional EW and MEW equations

KR Raslan, KK Ali, MA Shallal - Chaos, Solitons & Fractals, 2017 - Elsevier
In this paper, we established a traveling wave solution by using the modified extended tanh
method for space-time fractional nonlinear partial differential equations. The method is used …