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 …

N-fold Darboux transformation and solitonic interactions for the Kraenkel–Manna–Merle system in a saturated ferromagnetic material

Y Shen, B Tian, TY Zhou, XT Gao - Nonlinear Dynamics, 2023 - Springer
Ferromagnetic-material investigations are active, with the applications in direct-current
power supplies, radios, televisions, high-frequency power supplies, microwave equipments …

Auto-Bäcklund transformations and soliton solutions on the nonzero background for a (3+ 1)-dimensional Korteweg-de Vries-Calogero-Bogoyavlenskii-Schif equation …

TY Zhou, B Tian, Y Shen, XT Gao - Nonlinear Dynamics, 2023 - Springer
Abstract In this paper, a (3+ 1)-dimensional Korteweg-de Vries-Calogero-Bogoyavlenskii-
Schif equation in a fluid is investigated. By the virtue of the truncated Painlevé expansion, a …

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 …

Auto-Bäcklund transformations, Lax pair, bilinear forms and bright solitons for an extended (3+ 1)-dimensional nonlinear Schrödinger equation in an optical fiber

TY Zhou, B Tian - Applied Mathematics Letters, 2022 - Elsevier
In this Letter, we investigate an extended (3+ 1)-dimensional nonlinear Schrödinger
equation in an optical fiber. Via the truncated Laurent expansions, auto-Bäcklund …

A variety of new rogue wave patterns for three coupled nonlinear Maccari's models in complex form

N Raza, B Rani, Y Chahlaoui, NA Shah - Nonlinear Dynamics, 2023 - Springer
Maccari's system serves as a valuable tool in various mathematical disciplines, contributing
to the understanding of complex dynamics, control theory, synchronization phenomena, and …

Dark solitary pulses and moving fronts in an optical medium with the higher-order dispersive and nonlinear effects

H Triki, Y Sun, Q Zhou, A Biswas, Y Yıldırım… - Chaos, Solitons & …, 2022 - Elsevier
We study the propagation dynamics of extremely short light pulses in an optical fiber
medium exhibiting a plethora of higher-order dispersive and nonlinear effects of different …

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 …

Wronskian, Gramian, Pfaffian and periodic-wave solutions for a (3+ 1)-dimensional generalized nonlinear evolution equation arising in the shallow water waves

FY Liu, YT Gao, X Yu, CC Ding - Nonlinear Dynamics, 2022 - Springer
Application of the shallow water waves in environmental engineering and hydraulic
engineering is seen. In this paper, a (3+ 1)-dimensional generalized nonlinear evolution …

Vector breathers, rogue and breather-rogue waves for a coupled mixed derivative nonlinear Schrödinger system in an optical fiber

XH Wu, YT Gao, X Yu, LQ Li, CC Ding - Nonlinear Dynamics, 2023 - Springer
In this paper, a coupled mixed derivative nonlinear Schrödinger system, which describes the
short pulses in the femtosecond or picosecond regime of a birefringent optical fiber, is …