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Mathematics

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59
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12736
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594
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303

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57
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Research.com Recognitions

  • 2020 - OSA Fellows Jianke Yang University of Vermont, USA For outstanding and innovative contributions to nonlinear optics, parity-time symmetry, and their numerical metho­dologies

Overview

Jianke Yang is affiliated with the University of Vermont in the United States. Their primary field of study is Physics and Astronomy, with a focus on various subfields including Statistical and Nonlinear Physics, Geometry and Topology, Atomic and Molecular Physics, and Optics, as well as Computer Vision and Pattern Recognition and Modeling and Simulation.

The main topics covered in Jianke Yang's research include:

  • Nonlinear Waves and Solitons
  • Nonlinear Photonic Systems
  • Advanced Differential Equations and Dynamical Systems
  • Fractional Differential Equations Solutions
  • Algebraic structures and combinatorial models
  • Advanced Fiber Laser Technologies
  • Quantum Mechanics and Non-Hermitian Physics

Jianke Yang has contributed to various scientific publications across recognized venues. Frequent publication venues include:

  • arXiv (Cornell University)
  • Studies in Applied Mathematics
  • Physica D Nonlinear Phenomena
  • Frontiers in Public Health
  • IMA Journal of Applied Mathematics

Among recent papers authored or coauthored by Jianke Yang are:

  • Rogue wave patterns in the nonlinear Schrödinger equation (2021), published in Physica D Nonlinear Phenomena
  • Universal rogue wave patterns associated with the Yablonskii-Vorob'ev polynomial hierarchy (2021), published in Physica D Nonlinear Phenomena
  • General rogue waves in the three-wave resonant interaction systems (2021), published in IMA Journal of Applied Mathematics
  • Weakly nonlinear topological gap solitons in Su-Schrieffer-Heeger photonic lattices (2020), published in Optics Letters
  • Pattern Transformation in Higher-Order Lumps of the Kadomtsev-Petviashvili I Equation (2022), published in Journal of Nonlinear Science

Jianke Yang has collaborated frequently with several researchers, including:

  • Bo Yang
  • Nima Dehmamy
  • Rose Yu
  • Daohong Song
  • Zhigang Chen

In 2020, Jianke Yang was recognized as an OSA Fellow for contributions in the areas of nonlinear optics, parity-time symmetry, and numerical methodologies.

Best Publications

  • Nonlinear waves in PT -symmetric systems

    Vladimir V. Konotop;Jianke Yang;Dmitry A. Zezyulin

  • Nonlinear Waves in Integrable and Nonintegrable Systems

    Unknown

  • General high-order rogue waves and their dynamics in the nonlinear Schrödinger equation

    Yasuhiro Ohta;Jianke Yang

  • Fundamental and vortex solitons in a two-dimensional optical lattice.

    Jianke Yang;Ziad H. Musslimani

  • Rogue waves in the Davey-Stewartson I equation.

    Yasuhiro Ohta;Jianke Yang

  • General high-order rogue waves and their dynamics in the nonlinear Schroedinger equation

    Yasuhiro Ohta;Jianke Yang

  • Integrable properties of the general coupled nonlinear Schrödinger equations

    Deng-Shan Wang;Da-Jun Zhang;Jianke Yang

  • Stability analysis for solitons in PT-symmetric optical lattices

    Sean Nixon;Lijuan Ge;Lijuan Ge;Jianke Yang

  • Fundamentals of Photonic Crystal Guiding

    Maksim Skorobogatiy;Jianke Yang

  • Universally-Convergent Squared-Operator Iteration Methods for Solitary Waves in General Nonlinear Wave Equations

    Jianke Yang;Taras I. Lakoba

  • Dynamics of rogue waves in the Davey–Stewartson II equation

    Yasuhiro Ohta;Jianke Yang

  • General N-Dark–Dark Solitons in the Coupled Nonlinear Schrödinger Equations

    Yasuhiro Ohta;Deng-Shan Wang;Jianke Yang

  • General N-solitons and their dynamics in several nonlocal nonlinear Schrödinger equations

    Jianke Yang

  • Newton-conjugate-gradient methods for solitary wave computations

    Jianke Yang

  • Parity-time Symmetry and Its Applications

    Demetrios Christodoulides;Jianke Yang

  • Transformations between Nonlocal and Local Integrable Equations

    Bo Yang;Jianke Yang

  • Accelerated Imaginary‐time Evolution Methods for the Computation of Solitary Waves

    Jianke Yang;Taras I. Lakoba

  • EMBEDDED SOLITONS IN SECOND-HARMONIC-GENERATING SYSTEMS

    J. Yang;B. A. Malomed;D. J. Kaup

  • Rogue Waves in the Generalized Derivative Nonlinear Schrödinger Equations

    Bo Yang;Junchao Chen;Jianke Yang

  • Dipole solitons in optically induced two-dimensional photonic lattices.

    Jianke Yang;Igor Makasyuk;Anna Bezryadina;Zhigang Chen

  • Defect modes in one-dimensional photonic lattices.

    Francesco Fedele;Jianke Yang;Zhigang Chen

  • Fundamentals of Photonic Crystal Guiding: Hamiltonian formulation of Maxwell's equations (frequency consideration)

    Maksim Skorobogatiy;Jianke Yang

Frequent Co-Authors

Zhigang Chen
Zhigang Chen Nankai University
Dmitry E. Pelinovsky
Dmitry E. Pelinovsky McMaster University
Boris A. Malomed
Boris A. Malomed Tel Aviv University
Alan R Champneys
Alan R Champneys University of Bristol
Panayotis G. Kevrekidis
Panayotis G. Kevrekidis University of Massachusetts Amherst
Maksim Skorobogatiy
Maksim Skorobogatiy Polytechnique Montréal
William L. Kath
William L. Kath Northwestern University
Chiara Daraio
Chiara Daraio California Institute of Technology
John E. Sipe
John E. Sipe University of Toronto
Curtis R. Menyuk
Curtis R. Menyuk University of Maryland, Baltimore County

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