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- Dmitry E. Pelinovsky

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Engineering and Technology
D-index
44
Citations
7,154
223
World Ranking
2031
National Ranking
91

Mathematics
D-index
56
Citations
9,578
317
World Ranking
542
National Ranking
20

- 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.

- 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)

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.

- Mathematical analysis (59.86%)
- Nonlinear system (51.15%)
- Mathematical physics (25.23%)

- Mathematical analysis (59.86%)
- Nonlinear system (51.15%)
- Nonlinear Schrödinger equation (22.94%)

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.

- 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)

- 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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Self-focusing and transverse instabilities of solitary waves

Yuri S. Kivshar;Dmitry E. Pelinovsky.

Physics Reports **(2000)**

474 Citations

Self-focusing and transverse instabilities of solitary waves

Yuri S. Kivshar;Dmitry E. Pelinovsky.

Physics Reports **(2000)**

474 Citations

Vibrations and Oscillatory Instabilities of Gap Solitons

I. V. Barashenkov;D. E. Pelinovsky;E. V. Zemlyanaya.

Physical Review Letters **(1998)**

309 Citations

Vibrations and Oscillatory Instabilities of Gap Solitons

I. V. Barashenkov;D. E. Pelinovsky;E. V. Zemlyanaya.

Physical Review Letters **(1998)**

309 Citations

Internal Modes of Solitary Waves

Yuri S. Kivshar;Dmitry E. Pelinovsky;Thierry Cretegny;Michel Peyrard.

Physical Review Letters **(1998)**

239 Citations

Internal Modes of Solitary Waves

Yuri S. Kivshar;Dmitry E. Pelinovsky;Thierry Cretegny;Michel Peyrard.

Physical Review Letters **(1998)**

239 Citations

Instability of solitons governed by quadratic nonlinearities.

Dmitry E. Pelinovsky;Alexander V. Buryak;Yuri S. Kivshar.

Physical Review Letters **(1995)**

192 Citations

Instability of solitons governed by quadratic nonlinearities.

Dmitry E. Pelinovsky;Alexander V. Buryak;Yuri S. Kivshar.

Physical Review Letters **(1995)**

192 Citations

Self-focusing of plane dark solitons in nonlinear defocusing media

Dmitry E. Pelinovsky;Dmitry E. Pelinovsky;Yuri A. Stepanyants;Yuri S. Kivshar.

Physical Review E **(1995)**

186 Citations

Self-focusing of plane dark solitons in nonlinear defocusing media

Dmitry E. Pelinovsky;Dmitry E. Pelinovsky;Yuri A. Stepanyants;Yuri S. Kivshar.

Physical Review E **(1995)**

186 Citations

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