World's Best Scientists 2026 revealed!

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Mathematics

D-Index
41
Citations
6042
World Ranking
1937
National Ranking
13

Overview

Jonatan Lenells is affiliated with the Royal Institute of Technology in Sweden. Their research spans extensive areas within Mathematics and Physics and Astronomy, focusing primarily on interdisciplinary problems connecting these fields.

The main fields of study associated with Lenells include:

  • Mathematics
  • Physics and Astronomy

Their subfields of study reflect a strong emphasis on both theoretical and applied topics, including:

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Statistics and Probability
  • Nuclear and High Energy Physics
  • Applied Mathematics

Key topics featured in Lenells' body of work include:

  • Nonlinear Waves and Solitons
  • Advanced Mathematical Physics Problems
  • Nonlinear Photonic Systems
  • Stochastic processes and statistical mechanics
  • Random Matrices and Applications
  • Algebraic structures and combinatorial models
  • Advanced Combinatorial Mathematics

Lenells has contributed a significant number of publications across various respected venues. Their most frequent publishing platforms are:

  • arXiv (Cornell University)
  • Nonlinearity
  • Communications in Mathematical Physics
  • SIAM Journal on Mathematical Analysis
  • Letters in Mathematical Physics

Recent papers by Lenells include:

  • The "good" Boussinesq equation: long-time asymptotics, 2023, Analysis & PDE
  • Nonchiral intermediate long-wave equation and interedge effects in narrow quantum Hall systems, 2020, Physical review. B./Physical review. B
  • The Focusing NLS Equation with Step-Like Oscillating Background: The Genus 3 Sector, 2022, Communications in Mathematical Physics
  • The "good" Boussinesq equation: a Riemann-Hilbert approach, 2022, Indiana University Mathematics Journal
  • Wilson loops in finite Abelian lattice gauge theories, 2022, Annales de l Institut Henri Poincaré Probabilités et Statistiques

Frequent collaborators in Lenells' research include:

  • Christophe Charlier
  • Edwin Langmann
  • Bjorn K. Berntson
  • Malin Palö Forsström

Best Publications

  • Traveling wave solutions of the Camassa-Holm equation

    Jonatan Lenells

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

    Tudor Dimofte;Sergei Gukov;Jonatan Lenells;Don Zagier

  • Traveling wave solutions of the Degasperis-Procesi equation

    Jonatan Lenells

  • Inverse scattering transform for the Degasperis–Procesi equation

    Adrian Constantin;Rossen I Ivanov;Jonatan Lenells

  • Conservation laws of the Camassa–Holm equation

    Jonatan Lenells

  • On a novel integrable generalization of the nonlinear Schrödinger equation

    Jonatan Lenells;A. S. Fokas

  • THE UNIFIED METHOD: I NON-LINEARIZABLE PROBLEMS ON THE HALF-LINE

    A. S. Fokas;And J. Lenells

  • Exactly solvable model for nonlinear pulse propagation in optical fibers

    Jonatan Lenells

  • Stability of periodic peakons

    Jonatan Lenells

  • Generalized Hunter–Saxton equation and the geometry of the group of circle diffeomorphisms

    Boris Khesin;Jonatan Lenells;Gerard Misiołek

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

    Jonatan Lenells;Gerard Misiołek;Feride Tiğlay;Feride Tiğlay

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

    Jonatan Lenells

  • Dressing for a Novel Integrable Generalization of the Nonlinear Schrödinger Equation

    Jonatan Lenells

  • The unified method: I. Nonlinearizable problems on the half-line

    A. S. Fokas;A. S. Fokas;Jonatan Lenells

  • An integrable generalization of the nonlinear Schrödinger equation on the half-line and solitons

    Jonatan Lenells;A. S. Fokas

  • On a novel integrable generalization of the nonlinear Schr"odinger equation

    J. Lenells;A. S. Fokas

  • Initial-boundary value problems for integrable evolution equations with 3×3 Lax pairs

    Jonatan Lenells

  • The derivative nonlinear Schrodinger equation on the half-line

    Jonatan Lenells

  • A variational approach to the stability of periodic peakons

    Jonatan Lenells

  • GEOMETRY OF DIFFEOMORPHISM GROUPS, COMPLETE INTEGRABILITY AND GEOMETRIC STATISTICS

    B. Khesin;Jonatan Lenells;G. Misiołek;S. C. Preston

Frequent Co-Authors

Athanassios S. Fokas
Athanassios S. Fokas University of Cambridge
Adrian Constantin
Adrian Constantin University of Vienna
Anne Boutet de Monvel
Anne Boutet de Monvel Université Paris Cité
Don Zagier
Don Zagier Max Planck Institute for Mathematics
Sergei Gukov
Sergei Gukov California Institute of Technology
Jerry L. Bona
Jerry L. Bona University of Illinois at Chicago
Yue Liu
Yue Liu The University of Texas at Arlington
Joachim Escher
Joachim Escher University of Hannover

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