What is he best known for?
The fields of study he is best known for:
- Quantum mechanics
- Mathematical analysis
- Electron
His main research concerns Nonlinear system, Mathematical analysis, Partial differential equation, Nonlinear Schrödinger equation and Mathematical physics.
Rogue wave is the focus of his Nonlinear system research.
His work deals with themes such as Compacton and Work, which intersect with Mathematical analysis.
His work carried out in the field of Partial differential equation brings together such families of science as Korteweg–de Vries equation, Traveling wave and Differential equation.
His research in Nonlinear Schrödinger equation intersects with topics in Field, Matrix similarity, Nonlinear optics, Classical mechanics and Integrable system.
His Mathematical physics research includes elements of Transformation and Numerical analysis.
His most cited work include:
- New explicit solitary wave solutions and periodic wave solutions for Whitham–Broer–Kaup equation in shallow water (305 citations)
- New explicit travelling wave solutions for two new integrable coupled nonlinear evolution equations (267 citations)
- Abundant families of Jacobi elliptic function solutions of the (2+1)-dimensional integrable Davey–Stewartson-type equation via a new method (207 citations)
What are the main themes of his work throughout his whole career to date?
His scientific interests lie mostly in Nonlinear system, Mathematical analysis, Nonlinear Schrödinger equation, Rogue wave and Integrable system.
His study in Nonlinear system is interdisciplinary in nature, drawing from both Mathematical physics, Classical mechanics and Schrödinger equation.
Zhenya Yan has included themes like Korteweg–de Vries equation and Soliton in his Mathematical analysis study.
The concepts of his Nonlinear Schrödinger equation study are interwoven with issues in Split-step method and Envelope.
Zhenya Yan combines subjects such as Instability, Modulational instability, Breather, Matrix similarity and Amplitude with his study of Rogue wave.
Many of his research projects under Integrable system are closely connected to Loop group with Loop group, tying the diverse disciplines of science together.
He most often published in these fields:
- Nonlinear system (56.00%)
- Mathematical analysis (41.71%)
- Nonlinear Schrödinger equation (25.14%)
What were the highlights of his more recent work (between 2018-2021)?
- Nonlinear system (56.00%)
- Mathematical analysis (41.71%)
- Boundary value problem (8.00%)
In recent papers he was focusing on the following fields of study:
Zhenya Yan mainly focuses on Nonlinear system, Mathematical analysis, Boundary value problem, Rogue wave and Scattering.
His biological study focuses on Nonlinear optics.
He focuses mostly in the field of Mathematical analysis, narrowing it down to matters related to Physical system and, in some cases, Characteristic polynomial, Inverse function, Eigenvalues and eigenvectors and Degeneracy.
His Rogue wave study incorporates themes from Nonlinear Schrödinger equation, Artificial neural network, Amplitude, Integrable system and Modulational instability.
His Nonlinear Schrödinger equation research incorporates elements of Initial value problem and Classical mechanics.
His study looks at the relationship between Scattering and topics such as Atomic physics, which overlap with Energy and Variational method.
Between 2018 and 2021, his most popular works were:
- Inverse scattering transforms and soliton solutions of focusing and defocusing nonlocal mKdV equations with non-zero boundary conditions (24 citations)
- Focusing and defocusing Hirota equations with non-zero boundary conditions: Inverse scattering transforms and soliton solutions (21 citations)
- The Hirota equation: Darboux transform of the Riemann–Hilbert problem and higher-order rogue waves (17 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Mathematical analysis
- Electron
His primary areas of investigation include Boundary value problem, Matrix, Soliton, Nonlinear system and Breather.
To a larger extent, Zhenya Yan studies Mathematical analysis with the aim of understanding Boundary value problem.
In the subject of general Nonlinear system, his work in Nonlinear Schrödinger equation is often linked to Self-focusing, thereby combining diverse domains of study.
His studies deal with areas such as Amplitude, Schrödinger's cat, Classical mechanics and Modulational instability as well as Nonlinear Schrödinger equation.
His Breather research integrates issues from Dipole, Riemann–Hilbert problem, Quintic function and Nonlinear optics.
His Riemann–Hilbert problem research includes themes of Transformation, Mathematical physics, Order and Rogue wave.
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