Multi-pole solitons in an inhomogeneous multi-component nonlinear optical medium

Y Shen, B Tian, TY Zhou, CD Cheng - Chaos, Solitons & Fractals, 2023 - Elsevier
Investigations on nonlinear optics are active, with the applications in the modulators, fiber
lasers, optical sensors, etc. In this paper, we focus our attention on a system for the ultra …

Studies on certain bilinear form, N-soliton, higher-order breather, periodic-wave and hybrid solutions to a (3+1)-dimensional shallow water wave equation with time …

Y Shen, B Tian, SH Liu, TY Zhou - Nonlinear Dynamics, 2022 - Springer
Studies of the shallow water waves are active, possessing the applications in ocean
engineering, marine environment, atmospheric science, etc. In this paper, we investigate a …

[HTML][HTML] Phase portrait, bifurcation, chaotic pattern and optical soliton solutions of the Fokas-Lenells equation with cubic-quartic dispersion in optical fibers

Z Li, C Huang, B Wang - Physics Letters A, 2023 - Elsevier
The main purpose of this paper is to study the Fokas-Lenells equation with cubic-quartic
dispersion describing the propagation of birefringent fibers and polarization preserving …

Shallow-water-wave studies on a (2+ 1)-dimensional Hirota–Satsuma–Ito system: X-type soliton, resonant Y-type soliton and hybrid solutions

Y Shen, B Tian, TY Zhou, XT Gao - Chaos, Solitons & Fractals, 2022 - Elsevier
Water waves can be seen in the rivers, lakes, oceans, etc. A (2+ 1)-dimensional Hirota–
Satsuma–Ito system, which arises in the shallow water waves, is investigated in this work …

Cubic–quartic optical soliton perturbation with Fokas–Lenells equation having maximum intensity

Y Yıldırım, A Biswas, HM Alshehri - Optik, 2022 - Elsevier
Objective: This paper reviews cubic–quartic Fokas–Lenells equation with perturbation terms
having power-law of nonlinear refractive index for the first time. Methods: Six integration …

Analyzing the bifurcation, chaos and soliton solutions to (3+ 1)-dimensional nonlinear hyperbolic Schrödinger equation

M Nadeem, T Hayat - Chaos, Solitons & Fractals, 2024 - Elsevier
Water wave development, soliton dynamics and electromagnetic field propagation are just a
few phenomena that are studied using the (3+ 1)-dimensional nonlinear hyperbolic …

Dynamical behavior of nonlinear cubic-quartic Fokas-Lenells equation with third and fourth order dispersion in optical pulse propagation

M Sadaf, S Arshed, G Akram, E Husaain - Optical and Quantum …, 2023 - Springer
In this article, the nonlinear cubic-quartic Fokas-Lenells equation with third and fourth order
dispersion is theoretically investigated. The considered equation is a modified form of Fokas …

Weierstrass elliptic function solutions and degenerate solutions of a variable coefficient higher-order Schrödinger equation

L Fan, T Bao - Physica Scripta, 2023 - iopscience.iop.org
In this paper, the auxiliary equation method is used to study the Weierstrass elliptic function
solutions and degenerate solutions of the variable coefficient higher order Schrödinger …

[HTML][HTML] Some analytic and series solutions of integrable generalized Broer-Kaup system

S Malik, S Kumar, P Kumari, KS Nisar - Alexandria Engineering Journal, 2022 - Elsevier
In this article, we have updated the results obtained by Zhang et al.(2019) and derived some
certain features of a famous dispersion water wave model, namely, generalized Broer-Kaup …

M-shaped solitons in cubic nonlinear media with a composite linear potential

L Zeng, D Mihalache, X Zhu, J He - Nonlinear Dynamics, 2024 - Springer
The M-shaped solitons—a special type of solitons—have been reported in many models,
while most of them are not focused on the commonly used nonlinear Schrödinger equation …