Wronskian solutions and Pfaffianization for a (3+ 1)-dimensional generalized variable-coefficient Kadomtsev-Petviashvili equation in a fluid or plasma

CD Cheng, B Tian, TY Zhou, Y Shen - Physics of Fluids, 2023 - pubs.aip.org
In this paper, we investigate a (3+ 1)-dimensional generalized variable-coefficient
Kadomtsev-Petviashvili (GVCKP) equation in a fluid or plasma. The Nth-order Wronskian …

Ultra-short optical pulses in a birefringent fiber via a generalized coupled Hirota system with the singular manifold and symbolic computation

XY Gao, YJ Guo, WR Shan - Applied Mathematics Letters, 2023 - Elsevier
Nonlinear electrodynamic studies are currently interesting, while fiber transmission is
superior in the high-bit-rate long-distance communications. Hereby, for certain ultra-short …

Magnetic soliton and breather interactions for the higher-order Heisenberg ferromagnetic equation via the iterative N-fold Darboux transformation

XK Liu, XY Wen, T Zhang - Physica Scripta, 2024 - iopscience.iop.org
This paper focuses on a higher-order Heisenberg ferromagnetic equation, which may
describe the motion of the magnetic vector of isotropic ferromagnetism. The iterative N-fold …

Dynamical investigation of the perturbed Chen–Lee–Liu model with conformable fractional derivative

N Das, S Saha Ray - Zeitschrift für Naturforschung A, 2024 - degruyter.com
This study focuses on the investigation of the perturbed Chen–Lee–Liu model with
conformable fractional derivative by the implementation of the generalized projective Riccati …

Bright and dark solitons for the fifth-order nonlinear Schrödinger equation with variable coefficients

WH Zhu, JG Liu - Optik, 2023 - Elsevier
In this work, a fifth-order nonlinear Schrödinger equation with variable coefficients is
investigated, which represents the diffusion of ultrashort pulses in incompatible optical …

Bilinear forms and breather solutions for a variable-coefficient nonlocal nonlinear Schrödinger equation in an optical fiber

JY Ma, Y Jiang, TY Zhou, XT Gao, HD Liu - Nonlinear Dynamics, 2024 - Springer
In this paper, we investigate a variable-coefficient nonlocal nonlinear Schrödinger equation
in an optical fiber, which describes some optical pulses in a self-focusing medium. With the …

Some new lump molecules and hybrid molecular states of a (3+ 1)-dimensional generalized variable coefficient Kadomtsev–Petviashvili equation

J Yue, Z Zhao - Physics of Fluids, 2024 - pubs.aip.org
In this paper, a (3+ 1)-dimensional generalized variable coefficient Kadomtsev–Petviashvili
equation is investigated systematically, which can characterize evolution of the long water …

Wronskian solution, Bäcklund transformation and Painlevé analysis to a (2+ 1)-dimensional Konopelchenko–Dubrovsky equation

D Gao, WX Ma, X Lü - Zeitschrift für Naturforschung A, 2024 - degruyter.com
The main work of this paper is to construct the Wronskian solution and investigate the
integrability characteristics of the (2+ 1)-dimensional Konopelchenko–Dubrovsky equation …

New type solutions to the (2+ 1)-dimensional extended Bogoyavlenskii–Kadomtsev–Petviashvili equation calculated via generalized Kudryashov technique

X Zheng, L Zhao, Y Xu - Nonlinear Dynamics, 2024 - Springer
In this paper, we will study solutions of the (2+ 1)-dimensional extended Bogoyavlenskii–
Kadomtsev–Petviashvili (eBKP) equation which describes nonlinear wave propagation in …

Nondegenerate solitons of the (2+ 1)-dimensional coupled nonlinear Schrödinger equations with variable coefficients in nonlinear optical fibers

W Yang, X Cheng, G Jin, J Wang - Chinese Physics B, 2023 - iopscience.iop.org
We derive the multi-hump nondegenerate solitons for the (2+ 1)-dimensional coupled
nonlinear Schrödinger equations with propagation distance dependent diffraction …