Tao Xu

ORCID: 0000-0002-2740-4780
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Research Areas
  • Nonlinear Waves and Solitons
  • Nonlinear Photonic Systems
  • Advanced Fiber Laser Technologies
  • Quantum Mechanics and Non-Hermitian Physics
  • Algebraic structures and combinatorial models
  • Fractional Differential Equations Solutions
  • Magnetic confinement fusion research
  • Cold Atom Physics and Bose-Einstein Condensates
  • Superconducting Materials and Applications
  • Advanced Mathematical Physics Problems
  • Fluid Dynamics and Turbulent Flows
  • Ionosphere and magnetosphere dynamics
  • Laser-Plasma Interactions and Diagnostics
  • Physics of Superconductivity and Magnetism
  • Strong Light-Matter Interactions
  • Indoor and Outdoor Localization Technologies
  • Ocean Waves and Remote Sensing
  • Quantum chaos and dynamical systems
  • Hydrocarbon exploration and reservoir analysis
  • Numerical methods for differential equations
  • Solar and Space Plasma Dynamics
  • Nuclear reactor physics and engineering
  • Dust and Plasma Wave Phenomena
  • Robotics and Sensor-Based Localization
  • Fusion materials and technologies

China University of Petroleum, Beijing
2014-2024

Huazhong University of Science and Technology
2005-2024

Zhengzhou University of Light Industry
2019-2024

North China Electric Power University
2015-2024

University of Petroleum
2024

Ministry of Public Security of the People's Republic of China
2024

Institute of Forensic Science
2024

Hunan University
2022-2023

Yanshan University
2018-2022

Beijing University of Posts and Telecommunications
2006-2021

Via the $N\mathrm{th}$ Darboux transformation, a chain of nonsingular localized-wave solutions is derived for nonlocal nonlinear Schr\"odinger equation with self-induced parity-time $(\mathcal{P}\mathcal{T})$ -symmetric potential. It found that iterated solution in general exhibits variety elastic interactions among $2N$ solitons on continuous-wave background and each interacting soliton could be dark or antidark type. The an arbitrary odd number can also obtained under different degenerate...

10.1103/physreve.91.033202 article EN Physical Review E 2015-03-05

In this paper, via the generalized Darboux transformation, rational soliton solutions are derived for parity-time-symmetric nonlocal nonlinear Schrödinger (NLS) model with defocusing-type nonlinearity. We find that first-order solution can exhibit elastic interactions of antidark-antidark, dark-antidark, and antidark-dark pairs on a continuous wave background, but there is no phase shift interacting solitons. Also, we discuss degenerate case in which only one dark or antidark survives....

10.7566/jpsj.85.124001 article EN Journal of the Physical Society of Japan 2016-11-02

Abstract In the last two years, three major technical improvements have been made on J-TEXT in supporting of expanded operation regions and diagnostic capabilities. (1) The successful commission 105 GHz/500 kW/1 s electron cyclotron resonance heating (ECRH) system increasing core temperature from 0.9 keV up to around 1.5 keV. (2) poloidal divertor configuration with an X -point high-field side has achieved. particular, 400 kW wave also successfully injected into diverted plasma. (3) A...

10.1088/1741-4326/ac3aff article EN cc-by Nuclear Fusion 2021-11-19

10.18653/v1/2024.findings-acl.638 article EN Findings of the Association for Computational Linguistics: ACL 2022 2024-01-01

To provide an analytical scheme for the dynamical behavior of nonlinear Alfvén waves in inhomogeneous plasmas, this paper investigates a generalized variable-coefficient derivative Schrödinger equation. In sense admitting Lax pair and infinitely many conservation laws, integrability equation is established under certain coefficient constraint which suggests inhomogeneities support stable solitons. The Hirota method adopted to construct one- multi-Alfvén-soliton solutions. soliton features...

10.1063/1.2997340 article EN Physics of Plasmas 2008-10-01

In nonlinear optical fibers, the vector solitons can be governed by systems of coupled Schrodinger from polarized waves in an isotropic medium. Based on Ablowitz–Kaup–Newell–Segur technology, Darboux transformation method is successfully applied to two systems. With help symbolic computation, bright one- and two-soliton solutions including one-peak two-peak are further constructed via iterative algorithm transformation. Through figures for several sample solutions, stable propagation elastic...

10.1088/0031-8949/76/5/009 article EN Physica Scripta 2007-09-28

Various types of solitary wave pulses are obtained theoretically based on the analytic solutions for higher-order nonlinear Schr\"odinger equation. Different from previous results, bright solitons observed in normal group-velocity dispersion regime. Depending parameters' values, properties both and dark analyzed. Furthermore, soliton found to be interchangeable after collision, transfer mode can controlled under certain conditions. This might potential applications design optical switch,...

10.1103/physreva.79.063810 article EN Physical Review A 2009-06-08

In this paper, we construct the general Darboux transformation on Sasa–Satsuma equation and represent iterated solutions in terms of three-component Wronskian. From once-iterated solution, derive breather as well single- double-hump solitons. We also analyze three types collisions: soliton–soliton, breather–breather soliton–breather collisions. The surprising result is that collision may exhibit shape-changing phenomena, is, one (or soliton) change into a soliton breather) when interacting...

10.1088/0031-8949/89/7/075207 article EN Physica Scripta 2014-05-27

Based on the Darboux transformation and N-soliton solutions, we obtain explicit formulas of arbitrary-order multi-pole (MP) solutions Hirota equation via some limit technique. Then, by an improved asymptotic analysis method relying balance between exponential algebraic terms, derive accurate expressions all solitons in double- triple-pole solutions. Moreover, study soliton interactions MP especially emphasize unusual properties, like interacting separate from each other a logarithmical law,...

10.7566/jpsj.89.054004 article EN Journal of the Physical Society of Japan 2020-04-16

Typically, relationship between well logs and lithofacies is complex, which leads to low accuracy of identification. Machine learning (ML) methods are often applied identify using labelled by rock cores. However, these have limits some extent. To further improve their accuracies, practical novel ensemble strategies principles proposed in this work, allows geologists not familiar with ML establish a good identification model help The strategy combines as sub-classifiers generate comprehensive...

10.1016/j.petsci.2022.09.006 article EN cc-by-nc-nd Petroleum Science 2022-09-28

Integrable turbulence, as an irregular behavior in dynamic systems, has attracted a lot of attention integrable and Hamiltonian systems. This article focuses on the studies turbulence phenomena Kundu-Eckhaus (KE) equation well generation rogue waves from numerical statistical viewpoints. First, via Fourier collocation method, we obtain spectral portraits different analytical solutions. Second, perform simulation KE under initial condition plane wave with random noise to simulate chaotic...

10.1103/physreve.109.014204 article EN Physical review. E 2024-01-04

Abstract The J-TEXT capability is enhanced compared to two years ago with several upgrades of its diagnostics and the increase electron cyclotron resonance heating (ECRH) power 1 MW. With application wave (ECW), ECW assisted plasma startup achieved; tearing mode suppressed; toroidal injection 300 kW drives around 24 kA current; fast electrons are generated injected runaway current conversion efficiency increases ECRH power. coupling between 2/1 3/1 modes extensively studied. coupled usually...

10.1088/1741-4326/ad336e article EN cc-by Nuclear Fusion 2024-03-13

In this paper, the dynamical properties of soliton interactions in focusing Gardner equation are analyzed by conventional two-soliton solution and its degenerate cases. Using asymptotic expressions interacting solitons, it is shown that polarities depend on signs phase parameters, solitons mixed rational forms have variable velocities with time dependence attenuation. By means extreme value analysis, interaction points different scenarios presented exact determination positions occurrence...

10.1063/5.0200335 article EN Chaos An Interdisciplinary Journal of Nonlinear Science 2024-04-01

Considering the simultaneous propagation of multicomponent fields in an isotropic medium, N-coupled nonlinear Schrödinger system with self-phase modulation, cross-phase and energy exchange terms is investigated this paper. First, via symbolic computation, Painlevé singularity structure analysis shows that such a admits property. Then, Ablowitz-Kaup-Newell-Segur scheme, linear eigenvalue problem (Lax pair) associated model constructed frame block matrices. With Hirota bilinear method, bright...

10.1103/physreve.77.026605 article EN Physical Review E 2008-02-25

We study the nonlinear localized waves on constant backgrounds of Hirota–Maxwell–Bloch (HMB) system arising from erbium doped fibers. derive asymmetric breather, rogue wave (RW) and semirational solutions HMB system. show that breather RW can be converted into various soliton solutions. Under different conditions parameters, we calculate locus eigenvalues complex plane which converts breathers or RWs solitons. Based second-order solutions, investigate interactions among types including breathers,

10.7566/jpsj.85.024001 article EN Journal of the Physical Society of Japan 2015-12-25

10.1016/j.cnsns.2017.09.009 article EN Communications in Nonlinear Science and Numerical Simulation 2017-09-21

With the stationary solution assumption, we establish connection between nonlocal nonlinear Schrödinger (NNLS) equation and an elliptic equation. Then, obtain general solutions discuss relevance of their smoothness boundedness to some integral constants. Those solutions, which cover known results in literature, include unbounded Jacobi elliptic-function hyperbolic-function bounded sn-, cn-, dn-function as well hyperbolic soliton solutions. By imaginary translation transformation NNLS...

10.1063/1.5121776 article EN Chaos An Interdisciplinary Journal of Nonlinear Science 2019-12-01
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