Interaction solutions to nonlinear partial differential equations via Hirota bilinear forms: one-lump-multi-stripe and one-lump-multi-soliton types
X Lü, SJ Chen - Nonlinear Dynamics, 2021 - Springer
Interaction solutions between lump and soliton are analytical exact solutions to nonlinear
partial differential equations. The explicit expressions of the interaction solutions are of value …
partial differential equations. The explicit expressions of the interaction solutions are of value …
Elastic collision between one lump wave and multiple stripe waves of nonlinear evolution equations
SJ Chen, YH Yin, X Lü - … in Nonlinear Science and Numerical Simulation, 2024 - Elsevier
A new test function is proposed to construct the elastic one-lump-multi-stripe solutions to the
(2+ 1)-dimensional nonlinear evolution equations via Hirota bilinear forms. The necessary …
(2+ 1)-dimensional nonlinear evolution equations via Hirota bilinear forms. The necessary …
Bäcklund transformation, exact solutions and diverse interaction phenomena to a (3+ 1)-dimensional nonlinear evolution equation
YH Yin, X Lü, WX Ma - Nonlinear Dynamics, 2022 - Springer
Under investigation in this paper is a (3+ 1)-dimensional nonlinear evolution equation,
which was proposed and analyzed to study features and properties of nonlinear dynamics in …
which was proposed and analyzed to study features and properties of nonlinear dynamics in …
Painlevé analysis, auto-Bäcklund transformation and analytic solutions of a (21)-dimensional generalized Burgers system with the variable coefficients in a fluid
TY Zhou, B Tian, YQ Chen, Y Shen - Nonlinear Dynamics, 2022 - Springer
Burgers-type equations are used to describe certain phenomena in gas dynamics, traffic
flow, plasma astrophysics and ocean dynamics. In this paper, a (2+ 1)-dimensional …
flow, plasma astrophysics and ocean dynamics. In this paper, a (2+ 1)-dimensional …
Dynamic behaviors of the lump solutions and mixed solutions to a (2+ 1)-dimensional nonlinear model
SJ Chen, X Lü, YH Yin - Communications in Theoretical Physics, 2023 - iopscience.iop.org
In this paper, we propose a combined form of the bilinear Kadomtsev–Petviashvili equation
and the bilinear extended (2+ 1)-dimensional shallow water wave equation, which is linked …
and the bilinear extended (2+ 1)-dimensional shallow water wave equation, which is linked …
Stability and optimal control strategies for a novel epidemic model of COVID-19
X Lü, H Hui, F Liu, Y Bai - Nonlinear Dynamics, 2021 - Springer
In this paper, a novel two-stage epidemic model with a dynamic control strategy is proposed
to describe the spread of Corona Virus Disease 2019 (COVID-19) in China. Combined with …
to describe the spread of Corona Virus Disease 2019 (COVID-19) in China. Combined with …
Rogue waves based on the coupled nonlinear Schrödinger option pricing model with external potential
B Liu, XE Zhang, B Wang, X Lü - Modern Physics Letters B, 2022 - World Scientific
Based on the coupled nonlinear volatility and option pricing model, we introduce a new
external potential on the option price to a coupled nonlinear Schrödinger model. We derive …
external potential on the option price to a coupled nonlinear Schrödinger model. We derive …
The variable separation solution, fractal and chaos in an extended coupled (2+ 1)-dimensional Burgers system
YW Zhao, JW **a, X Lü - Nonlinear Dynamics, 2022 - Springer
As one kind of Burgers-type equation, the extended coupled (2+ 1)-dimensional Burgers
system is used to describe certain wave process in oceanography, acoustics or …
system is used to describe certain wave process in oceanography, acoustics or …
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 …
short pulses in the femtosecond or picosecond regime of a birefringent optical fiber, is …
[HTML][HTML] Wave profile analysis of a couple of (3+ 1)-dimensional nonlinear evolution equations by sine-Gordon expansion approach
Abstract The (3+ 1)-dimensional Kadomtsev-Petviashvili and the modified KdV-Zakharov-
Kuznetsov equations have a significant impact in modern science for their widespread …
Kuznetsov equations have a significant impact in modern science for their widespread …