What is he best known for?
The fields of study he is best known for:
- Quantum mechanics
- Mathematical analysis
- Algebra
Dmitry E. Pelinovsky mainly investigates Mathematical analysis, Nonlinear system, Soliton, Eigenvalues and eigenvectors and Mathematical physics.
His Mathematical analysis study combines topics from a wide range of disciplines, such as Line, Lattice and Bifurcation.
The various areas that Dmitry E. Pelinovsky examines in his Nonlinear system study include Schrödinger equation, Schrödinger's cat, Integrable system, Hamiltonian and Computation.
His Soliton research is multidisciplinary, incorporating perspectives in Vortex, Nonlinear Schrödinger equation and Instability.
He interconnects Self-phase modulation and Classical mechanics in the investigation of issues within Nonlinear Schrödinger equation.
Many of his research projects under Eigenvalues and eigenvectors are closely connected to Dirichlet eigenvalue with Dirichlet eigenvalue, tying the diverse disciplines of science together.
His most cited work include:
- Self-focusing and transverse instabilities of solitary waves (291 citations)
- Vibrations and Oscillatory Instabilities of Gap Solitons (190 citations)
- Spectra of Positive and Negative Energies in the Linearized NLS Problem (138 citations)
What are the main themes of his work throughout his whole career to date?
His scientific interests lie mostly in Mathematical analysis, Nonlinear system, Mathematical physics, Nonlinear Schrödinger equation and Eigenvalues and eigenvectors.
His research integrates issues of Korteweg–de Vries equation and Bifurcation in his study of Mathematical analysis.
His Nonlinear system research focuses on Soliton in particular.
The concepts of his Soliton study are interwoven with issues in Amplitude, Transformation, Quantum electrodynamics and Classical mechanics.
His Integrable system study in the realm of Mathematical physics connects with subjects such as Thirring model.
His Nonlinear Schrödinger equation study incorporates themes from Bound state, Breather and Differential equation.
He most often published in these fields:
- Mathematical analysis (59.86%)
- Nonlinear system (51.15%)
- Mathematical physics (25.23%)
What were the highlights of his more recent work (between 2018-2021)?
- Mathematical analysis (59.86%)
- Nonlinear system (51.15%)
- Nonlinear Schrödinger equation (22.94%)
In recent papers he was focusing on the following fields of study:
His scientific interests lie mostly in Mathematical analysis, Nonlinear system, Nonlinear Schrödinger equation, Mathematical physics and Instability.
His biological study spans a wide range of topics, including Korteweg–de Vries equation, Quadratic equation and Eigenvalues and eigenvectors.
His Nonlinear system research is multidisciplinary, incorporating perspectives in Amplitude, Quantum graph, Schrödinger's cat and Bounded function.
His Nonlinear Schrödinger equation research includes elements of Gravitational singularity, Homogeneous space, Vertex, Differential equation and Standing wave.
His study in Mathematical physics is interdisciplinary in nature, drawing from both Bound state, Soliton, Klein–Gordon equation and Transformation.
His Instability study combines topics from a wide range of disciplines, such as Camassa–Holm equation, Method of characteristics, Classical mechanics, Periodic wave and Spectrum.
Between 2018 and 2021, his most popular works were:
- Periodic Travelling Waves of the Modified KdV Equation and Rogue Waves on the Periodic Background (29 citations)
- Periodic Travelling Waves of the Modified KdV Equation and Rogue Waves on the Periodic Background (29 citations)
- Rogue waves on the double-periodic background in the focusing nonlinear Schrödinger equation (27 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Mathematical analysis
- Algebra
Dmitry E. Pelinovsky focuses on Mathematical analysis, Nonlinear Schrödinger equation, Rogue wave, Mathematical physics and Nonlinear system.
His Mathematical analysis research includes themes of Korteweg–de Vries equation and Open problem.
His Nonlinear Schrödinger equation research incorporates themes from Boundary value problem, Analytic continuation, Vertex, Differential equation and Spectrum.
The various areas that Dmitry E. Pelinovsky examines in his Rogue wave study include Eigenvalues and eigenvectors, Instability and Classical mechanics.
His studies in Mathematical physics integrate themes in fields like Zero and Soliton.
His Nonlinear system study combines topics in areas such as Flow, Structure, Conformal map, Amplitude and Degeneracy.
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