D-Index & Metrics Best Publications
Mathematics
USA
2023

D-Index & Metrics 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.

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 58 Citations 12,232 343 World Ranking 765 National Ranking 336
Mathematics D-index 72 Citations 20,140 728 World Ranking 159 National Ranking 90

Research.com Recognitions

Awards & Achievements

2023 - Research.com Mathematics in United States Leader Award

2020 - Fellow of the American Mathematical Society For contributions in applied mathematics, especially in the theory and applications of nonlinear waves.

2017 - SIAM Fellow For fundamental contributions to the existence, stability, and dynamics of nonlinear waves with applications to atomic, optical, and materials physics.

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Mathematical analysis
  • Nonlinear system

Panayotis G. Kevrekidis focuses on Nonlinear system, Quantum mechanics, Classical mechanics, Bose–Einstein condensate and Soliton. His Nonlinear system research is multidisciplinary, relying on both Schrödinger's cat, Mathematical analysis, Schrödinger equation and Lattice. His Classical mechanics study combines topics in areas such as Dispersion, Statistical physics, Nonlinear acoustics and Breather.

His studies deal with areas such as Matter wave, Nonlinear phenomena, Topological quantum number, Vortex and Atomic physics as well as Bose–Einstein condensate. His Vortex research incorporates elements of Condensed matter physics, K-epsilon turbulence model and Wavenumber. The concepts of his Soliton study are interwoven with issues in Einstein, Quantum electrodynamics, Josephson effect, Oscillation and Scattering length.

His most cited work include:

  • Emergent Nonlinear Phenomena in Bose-Einstein Condensates (326 citations)
  • The Discrete Nonlinear Schrödinger Equation (284 citations)
  • THE DISCRETE NONLINEAR SCHRÖDINGER EQUATION: A SURVEY OF RECENT RESULTS (281 citations)

What are the main themes of his work throughout his whole career to date?

His primary areas of investigation include Nonlinear system, Classical mechanics, Quantum mechanics, Bose–Einstein condensate and Vortex. Panayotis G. Kevrekidis has included themes like Lattice and Schrödinger's cat, Mathematical analysis in his Nonlinear system study. The various areas that Panayotis G. Kevrekidis examines in his Mathematical analysis study include Eigenvalues and eigenvectors and Computation.

Panayotis G. Kevrekidis interconnects Instability, Breather, Schrödinger equation, Stability and Amplitude in the investigation of issues within Classical mechanics. Quantum mechanics is frequently linked to Quantum electrodynamics in his study. As a member of one scientific family, he mostly works in the field of Bose–Einstein condensate, focusing on Ordinary differential equation and, on occasion, Partial differential equation.

He most often published in these fields:

  • Nonlinear system (55.83%)
  • Classical mechanics (41.75%)
  • Quantum mechanics (25.73%)

What were the highlights of his more recent work (between 2019-2021)?

  • Nonlinear system (55.83%)
  • Classical mechanics (41.75%)
  • Stability (18.61%)

In recent papers he was focusing on the following fields of study:

Nonlinear system, Classical mechanics, Stability, Bose–Einstein condensate and Integrable system are his primary areas of study. Panayotis G. Kevrekidis studies Nonlinear system, focusing on Breather in particular. His Classical mechanics research is multidisciplinary, incorporating elements of Plasma, Schrödinger equation, Rogue wave, Vortex and Standing wave.

Panayotis G. Kevrekidis has researched Vortex in several fields, including Molecular physics and Dynamics. His Stability research includes elements of Dynamical systems theory, Robustness and Floquet theory. Bose–Einstein condensate is the subject of his research, which falls under Quantum mechanics.

Between 2019 and 2021, his most popular works were:

  • Observation and analysis of multiple dark-antidark solitons in two-component Bose-Einstein condensates (13 citations)
  • Observation and analysis of multiple dark-antidark solitons in two-component Bose-Einstein condensates (13 citations)
  • Kink-antikink collisions and multi-bounce resonance windows in higher-order field theories (12 citations)

In his most recent research, the most cited papers focused on:

  • Quantum mechanics
  • Mathematical analysis
  • Geometry

The scientist’s investigation covers issues in Nonlinear system, Bose–Einstein condensate, Stability, Schrödinger's cat and Amplitude. His Nonlinear system study combines topics from a wide range of disciplines, such as Vortex, Mathematical analysis and Equations of motion, Classical mechanics. His Classical mechanics study integrates concerns from other disciplines, such as Boundary value problem and Gross–Pitaevskii equation.

His Bose–Einstein condensate research is under the purview of Quantum mechanics. The study incorporates disciplines such as Physical system, Work, Orders of magnitude and Phase diagram in addition to Stability. His study in Schrödinger's cat is interdisciplinary in nature, drawing from both Nonlinear Schrödinger equation, Schrödinger equation, Partial differential equation, Applied mathematics and Dissipative system.

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.

Best Publications

Emergent nonlinear phenomena in Bose-Einstein condensates : theory and experiment

Panayotis G. Kevrekidis;Dimitri J. Frantzeskakis;Ricardo Carretero-González.
(2008)

703 Citations

Emergent nonlinear phenomena in Bose-Einstein condensates : theory and experiment

Panayotis G. Kevrekidis;Dimitri J. Frantzeskakis;Ricardo Carretero-González.
(2008)

703 Citations

Emergent Nonlinear Phenomena in Bose-Einstein Condensates

Panayotis G. Kevrekidis;Dimitri J. Frantzeskakis;Ricardo Carretero-González.
enpb (2008)

522 Citations

Emergent Nonlinear Phenomena in Bose-Einstein Condensates

Panayotis G. Kevrekidis;Dimitri J. Frantzeskakis;Ricardo Carretero-González.
enpb (2008)

522 Citations

The Discrete Nonlinear Schrödinger Equation: Mathematical Analysis, Numerical Computations and Physical Perspectives

Panayotis G Kevrekidis.
(2009)

491 Citations

The Discrete Nonlinear Schrödinger Equation: Mathematical Analysis, Numerical Computations and Physical Perspectives

Panayotis G Kevrekidis.
(2009)

491 Citations

THE DISCRETE NONLINEAR SCHRÖDINGER EQUATION: A SURVEY OF RECENT RESULTS

P. G. Kevrekidis;K. Ø. Rasmussen;A. R. Bishop.
International Journal of Modern Physics B (2001)

462 Citations

THE DISCRETE NONLINEAR SCHRÖDINGER EQUATION: A SURVEY OF RECENT RESULTS

P. G. Kevrekidis;K. Ø. Rasmussen;A. R. Bishop.
International Journal of Modern Physics B (2001)

462 Citations

The Discrete Nonlinear Schrödinger Equation

Panayotis G. Kevrekidis.
International Journal of Modern Physics B (2009)

453 Citations

The Discrete Nonlinear Schrödinger Equation

Panayotis G. Kevrekidis.
International Journal of Modern Physics B (2009)

453 Citations

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