Jonatan Lenells

Statistical and Nonlinear Physics · 2004–2013

A researcher in the Science corpus: 16 papers; trusts 38 researchers and is trusted by 40 researchers here, as inferred from the citation graph.

Subfields

• Statistical and Nonlinear Physics — 82 citations into it; #365 of 10,127 by trust here, #1,059 by citations
• Geometry and Topology — 51 citations into it; #471 of 7,422 by trust here, #1,009 by citations
• Mathematical Physics — 45 citations into it; #1,217 of 8,562 by trust here, #1,355 by citations
• Applied Mathematics — 14 citations into it
• Oceanography — 12 citations into it
• Numerical Analysis — 11 citations into it; #1,930 of 3,586 by trust here, #2,242 by citations
• Nuclear and High Energy Physics — 7 citations into it; #3,907 of 6,161 by trust here, #5,080 by citations
• Algebra and Number Theory — 5 citations into it

Whom Jonatan Lenells trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Adrian Constantin
2. A. S. Fokas
3. Enrique G. Reyes
4. Hans Lundmark
5. Darryl D. Holm
6. R. Johnson
7. V. O. Vakhnenko
8. Antonio Degasperis
9. Boris Kolev
10. Jacek Szmigielski

Who trusts Jonatan Lenells overall

1. Adrian Constantin
2. Shou‐Fu Tian
3. Yue Liu
4. Xianguo Geng
5. A. Alexandrou Himonas
6. Alberto Bressan
7. Deng‐Shan Wang
8. Joachim Escher
9. Zhaoyang Yin
10. G. Misiołek

Papers from Jonatan Lenells's perspective

Ordered by how strongly the researchers Jonatan Lenells trusts endorse each paper. Same corpus, a different order for every researcher.

1. A New Integrable Equation with Peakon Solutions
2. Camassa–Holm, Korteweg–de Vries and related models for water waves (Journal of Fluid Mechanics)
3. On the scattering problem for the Camassa-Holm equation (Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences)
4. The Hydrodynamical Relevance of the Camassa–Holm and Degasperis–Procesi Equations
5. Well-posedness and Blow-up Solutions for an Integrable Nonlinearly Dispersive Model Wave Equation
6. Multisoliton solutions of the Degasperis–Procesi equation and their peakon limit
7. Traveling wave solutions of the Degasperis-Procesi equation
8. The Liouville correspondence between the Korteweg—de Vries and the Camassa‐Holm hierarchies
9. Multi-peakon solutions of the Degasperis–Procesi equation
10. Large time existence for 3D water-waves and asymptotics

Their papers

• Geometry of Diffeomorphism Groups, Complete integrability and Geometric statistics (2013) — 89 citations
• The Degasperis-Procesi equation on the half-line (2012) — 81 citations
• The unified method: I. Nonlinearizable problems on the half-line (2011) — 141 citations
• Inverse scattering transform for the Degasperis–Procesi equation (2010) — 178 citations
• THE GEOMETRY OF THE TWO-COMPONENT CAMASSA-HOLM AND DEGASPERIS-PROCESI EQUATIONS (2010) — 60 citations
• Integrable Evolution Equations on Spaces of Tensor Densities and Their Peakon Solutions (2009) — 115 citations
• Exact results for perturbative Chern-Simons theory with complex gauge group. (2009) — 207 citations
• Generalized Hunter–Saxton equation and the geometry of the group of circle diffeomorphisms (2008) — 144 citations
• On a novel integrable generalization of the nonlinear Schrödinger equation (2008) — 191 citations
• Exactly Solvable Model for Nonlinear Pulse Propagation in Optical Fibers (2008) — 159 citations
• The Hunter–Saxton equation describes the geodesic flow on a sphere (2007) — 125 citations
• Conservation laws of the Camassa–Holm equation (2005) — 172 citations
• Traveling wave solutions of the Degasperis-Procesi equation (2005) — 232 citations
• Traveling wave solutions of the Camassa-Holm equation (2005) — 335 citations
• Stability of periodic peakons (2004) — 138 citations
• The correspondence between KdV and Camassa-Holm (2004) — 52 citations