Modified generalized Darboux transformation and solitons for a Lakshmanan-Porsezian-Daniel equation

XH Wu, YT Gao, X Yu, CC Ding, LQ Li - Chaos, Solitons & Fractals, 2022 - Elsevier
In this paper, a Lakshmanan-Porsezian-Daniel equation, which describes the nonlinear spin
excitations in a (1+ 1)-dimensional isotropic biquadratic Heisenberg ferromagnetic spin …

Pfaffian, breather, and hybrid solutions for a (2+ 1)-dimensional generalized nonlinear system in fluid mechanics and plasma physics

CD Cheng, B Tian, YX Ma, TY Zhou, Y Shen - Physics of Fluids, 2022 - pubs.aip.org
Fluid mechanics is seen as the study on the underlying mechanisms of liquids, gases and
plasmas, and the forces on them. In this paper, we investigate a (2+ 1)-dimensional …

N-soliton, Mth-order breather, Hth-order lump, and hybrid solutions of an extended (3+1)-dimensional Kadomtsev-Petviashvili equation

Y Shen, B Tian, CD Cheng, TY Zhou - Nonlinear Dynamics, 2023 - Springer
Investigated in this paper is an extended (3+ 1)-dimensional Kadomtsev-Petviashvili
equation. We determine the N-soliton solutions of that equation via an existing bilinear form …

Lax pair, conservation laws, Darboux transformation and localized waves of a variable-coefficient coupled Hirota system in an inhomogeneous optical fiber

DY Yang, B Tian, QX Qu, CR Zhang, SS Chen… - Chaos, Solitons & …, 2021 - Elsevier
Optical fiber communication plays an important role in the modern communication. In this
paper, we investigate a variable-coefficient coupled Hirota system which describes the …

The dynamic characteristics of pure-quartic solitons and soliton molecules

X Liu, H Zhang, W Liu - Applied Mathematical Modelling, 2022 - Elsevier
Pure-quartic solitons (PQSs) with higher energy in short pulse width have been generated in
the mode-locked fiber laser recently, and soliton molecules have been found as a means to …

Soliton fusion and fission for the high-order coupled nonlinear Schrödinger system in fiber lasers

TY Wang, Q Zhou, WJ Liu - Chinese Physics B, 2022 - iopscience.iop.org
With the rapid development of communication technology, optical fiber communication has
become a key research area in communications. When there are two signals in the optical …

Darboux transformation, generalized Darboux transformation and vector breathers for a matrix Lakshmanan-Porsezian-Daniel equation in a Heisenberg ferromagnetic …

M Wang, B Tian, TY Zhou - Chaos, Solitons & Fractals, 2021 - Elsevier
Spin waves, usually used in radar and communication system, are the collective excitation of
spin system in ferromagnetic metals, and considered as potential data carriers for computing …

Self-steepening nature and nonlinearity management of optical solitons with the influence of generalized external potentials

MR MS, AM Wazwaz - Optical and Quantum Electronics, 2023 - Springer
A nonlinear Schrödinger equation with the combined effects of variable nonlinearity and
generalized external potentials is investigated. Three soliton solutions are generated by …

A third-order nonlinear Schrödinger equation: the exact solutions, group-invariant solutions and conservation laws

YS Özkan, E Yaşar, AR Seadawy - Journal of Taibah University for …, 2020 - Taylor & Francis
In this study, we consider the third order nonlinear Schrödinger equation (TONSE) that
models the wave pulse transmission in a time period less than one-trillionth of a second …

Analytic study on interactions between periodic solitons with controllable parameters

X Liu, H Triki, Q Zhou, W Liu, A Biswas - Nonlinear Dynamics, 2018 - Springer
Soliton interactions occur when two solitons are close enough. In general, periodic
oscillations can be presented during soliton interactions. The periodic oscillations will lead …