D-Index & Metrics Best Publications

D-Index & Metrics

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
Mathematics D-index 34 Citations 4,025 116 World Ranking 1541 National Ranking 14

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Geometry
  • Algebra

Jonatan Lenells mainly investigates Mathematical analysis, Integrable system, Camassa–Holm equation, Mathematical physics and Traveling wave. As part of his studies on Mathematical analysis, Jonatan Lenells often connects relevant subjects like Simple. His Integrable system research is multidisciplinary, incorporating elements of Generalization, Nonlinear Schrödinger equation, Boundary value problem and Applied mathematics.

His Camassa–Holm equation research integrates issues from Gravitational singularity, Scattering and Small amplitude. His research in Mathematical physics intersects with topics in Korteweg–de Vries equation and Euler equations. His Traveling wave research incorporates themes from Weak solution, Longitudinal wave and Classical mechanics.

His most cited work include:

  • Traveling wave solutions of the Camassa-Holm equation (247 citations)
  • Traveling wave solutions of the Degasperis-Procesi equation (175 citations)
  • Exact results for perturbative Chern-Simons theory with complex gauge group. (156 citations)

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

His primary scientific interests are in Mathematical analysis, Mathematical physics, Integrable system, Boundary value problem and Nonlinear Schrödinger equation. His Mathematical analysis research is multidisciplinary, relying on both Korteweg–de Vries equation and Inverse scattering transform. His Mathematical physics research focuses on Euler equations and how it connects with Geometry and Diffeomorphism.

His work deals with themes such as Initial value problem, Partial differential equation, Fourier transform, Applied mathematics and Generalization, which intersect with Integrable system. Jonatan Lenells interconnects Eigenfunction and Riemann surface in the investigation of issues within Boundary value problem. His Nonlinear Schrödinger equation research also works with subjects such as

  • Boundary values which is related to area like Degasperis–Procesi equation,
  • Half line which intersects with area such as Value.

He most often published in these fields:

  • Mathematical analysis (50.88%)
  • Mathematical physics (27.49%)
  • Integrable system (19.88%)

What were the highlights of his more recent work (between 2018-2021)?

  • Mathematical physics (27.49%)
  • Mathematical analysis (50.88%)
  • Initial value problem (8.77%)

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

Jonatan Lenells mostly deals with Mathematical physics, Mathematical analysis, Initial value problem, Order and Pure mathematics. His study in the fields of Lax pair under the domain of Mathematical physics overlaps with other disciplines such as Virasoro algebra. His Boundary value problem study in the realm of Mathematical analysis connects with subjects such as Bessel process.

His Boundary value problem study integrates concerns from other disciplines, such as Korteweg–de Vries equation, Inverse scattering transform and Sine. His studies deal with areas such as Nonlinear Schrödinger equation and Integrable system as well as Initial value problem. His work on Hermitian matrix as part of general Pure mathematics research is frequently linked to Kernel, thereby connecting diverse disciplines of science.

Between 2018 and 2021, his most popular works were:

  • LONG-TIME ASYMPTOTICS FOR THE DEGASPERIS-PROCESI EQUATION ON THE HALF-LINE (14 citations)
  • Asymptotics for the Sasa–Satsuma equation in terms of a modified Painlevé II transcendent (8 citations)
  • Higher order large gap asymptotics at the hard edge for Muttalib--Borodin ensembles (6 citations)

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

  • Mathematical analysis
  • Geometry
  • Algebra

Jonatan Lenells mainly focuses on Mathematical physics, Order, Applied mathematics, Pure mathematics and Order. Borrowing concepts from Virasoro algebra, he weaves in ideas under Mathematical physics. The study incorporates disciplines such as Boundary values, Vries equation, Degasperis–Procesi equation and Half line in addition to Order.

He has researched Applied mathematics in several fields, including Riemann hypothesis and Inverse scattering transform. His Pure mathematics research incorporates elements of Martingale and Special case. His Order study combines topics from a wide range of disciplines, such as Kernel, Combinatorics, Identity, Bessel function and Gauge group.

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

Traveling wave solutions of the Camassa-Holm equation

Jonatan Lenells.
Journal of Differential Equations (2005)

270 Citations

Exact results for perturbative Chern-Simons theory with complex gauge group.

Tudor Dimofte;Sergei Gukov;Jonatan Lenells;Don Zagier.
Communications in Number Theory and Physics (2009)

201 Citations

Traveling wave solutions of the Degasperis-Procesi equation

Jonatan Lenells.
Journal of Mathematical Analysis and Applications (2005)

197 Citations

Conservation laws of the Camassa–Holm equation

Jonatan Lenells.
Journal of Physics A (2005)

139 Citations

GENERALIZED HUNTER-SAXTON EQUATION AND THE GEOMETRY OF THE GROUP OF CIRCLE DIFFEOMORPHISMS

Boris Khesin;Jonatan Lenells;Gerard Misiołek.
Mathematische Annalen (2008)

114 Citations

The Hunter–Saxton equation describes the geodesic flow on a sphere

Jonatan Lenells.
Journal of Geometry and Physics (2007)

108 Citations

Inverse scattering transform for the Degasperis–Procesi equation

Adrian Constantin;Rossen I Ivanov;Jonatan Lenells.
Nonlinearity (2010)

105 Citations

Stability of periodic peakons

Jonatan Lenells.
International Mathematics Research Notices (2004)

96 Citations

Integrable Evolution Equations on Spaces of Tensor Densities and Their Peakon Solutions

Jonatan Lenells;Gerard Misiołek;Feride Tiğlay;Feride Tiğlay.
Communications in Mathematical Physics (2010)

94 Citations

The unified method: II. NLS on the half-line with t-periodic boundary conditions

Jonatan Lenells;A. S. Fokas;A. S. Fokas.
Journal of Physics A (2012)

93 Citations

Best Scientists Citing Jonatan Lenells

Yue Liu

Yue Liu

The University of Texas at Arlington

Publications: 43

Anjan Biswas

Anjan Biswas

Alabama Agricultural and Mechanical University

Publications: 37

Sergei Gukov

Sergei Gukov

California Institute of Technology

Publications: 29

Adrian Constantin

Adrian Constantin

University of Vienna

Publications: 19

Athanassios S. Fokas

Athanassios S. Fokas

University of Cambridge

Publications: 18

Stavros Garoufalidis

Stavros Garoufalidis

Southern University of Science and Technology

Publications: 16

Joachim Escher

Joachim Escher

University of Hannover

Publications: 15

Wen-Xiu Ma

Wen-Xiu Ma

University of South Florida

Publications: 14

Masahito Yamazaki

Masahito Yamazaki

Kavli Institute for the Physics and Mathematics of the Universe

Publications: 12

Gerald Teschl

Gerald Teschl

University of Vienna

Publications: 10

Peter W. Michor

Peter W. Michor

University of Vienna

Publications: 9

Milivoj R. Belić

Milivoj R. Belić

Texas A&M University at Qatar

Publications: 9

Jingsong He

Jingsong He

Shenzhen University

Publications: 7

Qin Zhou

Qin Zhou

King Abdulaziz University

Publications: 7

Shou-Fu Tian

Shou-Fu Tian

China University of Mining and Technology

Publications: 7

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking d-index is inferred from publications deemed to belong to the considered discipline.

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