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- Jonatan Lenells

Discipline name
D-index
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Citations
Publications
World Ranking
National Ranking

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

- 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.

- 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)

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.

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

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

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.

- 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)

- 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.

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

University of Cambridge

University of Vienna

Max Planck Institute for Mathematics

California Institute of Technology

University of Illinois at Chicago

The University of Texas at Arlington

Copenhagen Business School

KU Leuven

University of Hannover

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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