## Lenells, Jonatan

Compute Distance To:
 Author ID: lenells.jonatan Published as: Lenells, Jonatan; Lenells, J. External Links: MGP · Wikidata · IdRef
 Documents Indexed: 96 Publications since 2002, including 1 Book Co-Authors: 37 Co-Authors with 59 Joint Publications 1,067 Co-Co-Authors
all top 5

### Co-Authors

 37 single-authored 15 Fokas, Athanassios S. 8 Charlier, Christophe 5 Misiołek, Gerard 4 Constantin, Adrian 3 Berntson, Bjorn K. 3 Boutet de Monvel, Anne Marie 3 Huang, Lin 3 Khesin, Boris A. 3 Langmann, Edwin 3 Mauersberger, Julian 3 Shepelsky, Dmitry 3 Viklund, Fredrik Johansson 2 Blackstone, Elliot J. 2 Preston, Stephen C. 2 Quirchmayr, Ronald 2 Roussillon, Julien 2 Wunsch, Marcus 1 Arruda, Lynnyngs Kelly 1 Bona, Jerry Lloyd 1 Chen, Robin Ming 1 Deconinck, Bernard 1 Dimofte, Tudor Dan 1 Duits, Maurice 1 Escher, Joachim 1 Forsström, Malin Palö 1 Gukov, Sergei 1 Ivanov, Rossen I. 1 Kalisch, Henrik 1 Kohlmann, Martin 1 Kolev, Boris 1 Kuijlaars, Arno B. J. 1 Liu, Yue 1 Pei, Long 1 Pelloni, Beatrice 1 Tiğlay, Feride 1 Yang, Zhao 1 Zagier, Don Bernard
all top 5

### Serials

 8 Nonlinearity 6 Communications in Mathematical Physics 6 Journal of Differential Equations 5 Journal of Nonlinear Mathematical Physics 5 Journal of Physics A: Mathematical and Theoretical 4 Letters in Mathematical Physics 4 Physica D 4 Journal of Nonlinear Science 3 Journal of Mathematical Analysis and Applications 3 Journal of Geometry and Physics 3 IMRN. International Mathematics Research Notices 3 SIAM Journal on Mathematical Analysis 2 Physics Letters. A 2 Indiana University Mathematics Journal 2 Mathematische Annalen 2 Studies in Applied Mathematics 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 IMA Journal of Applied Mathematics 1 Inverse Problems 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Arkiv för Matematik 1 Chaos, Solitons and Fractals 1 Annales de l’Institut Fourier 1 Journal of the London Mathematical Society. Second Series 1 Mathematica Scandinavica 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Geometric and Functional Analysis. GAFA 1 Communications in Partial Differential Equations 1 Journal of Physics A: Mathematical and General 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Journal of Dynamics and Differential Equations 1 Journal of Mathematical Sciences (New York) 1 Discrete and Continuous Dynamical Systems 1 Advances in Theoretical and Mathematical Physics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of High Energy Physics 1 Annales Henri Poincaré 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Pure and Applied Mathematics Quarterly 1 Communications in Number Theory and Physics 1 Random Matrices: Theory and Applications 1 Analysis and Mathematical Physics 1 Journal of Integrable Systems
all top 5

### Fields

 78 Partial differential equations (35-XX) 52 Dynamical systems and ergodic theory (37-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Approximations and expansions (41-XX) 10 Functions of a complex variable (30-XX) 9 Differential geometry (53-XX) 8 Fluid mechanics (76-XX) 7 Special functions (33-XX) 7 Quantum theory (81-XX) 4 Probability theory and stochastic processes (60-XX) 4 Relativity and gravitational theory (83-XX) 3 Integral equations (45-XX) 3 Numerical analysis (65-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Nonassociative rings and algebras (17-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

81 Publications have been cited 1,862 times in 1,030 Documents Cited by Year
Traveling wave solutions of the Camassa-Holm equation. Zbl 1082.35127
Lenells, Jonatan
2005
Traveling wave solutions of the Degasperis-Procesi equation. Zbl 1068.35163
Lenells, Jonatan
2005
Conservation laws of the Camassa-Holm equation. Zbl 1076.35100
Lenells, Jonatan
2005
Inverse scattering transform for the Degasperis-Procesi equation. Zbl 1211.37081
Constantin, Adrian; Ivanov, Rossen I.; Lenells, Jonatan
2010
Generalized Hunter-Saxton equation and the geometry of the group of circle diffeomorphisms. Zbl 1156.35082
Khesin, Boris; Lenells, Jonatan; Misiołek, Gerard
2008
A variational approach to the stability of periodic peakons. Zbl 1067.35076
Lenells, Jonatan
2004
Stability of periodic peakons. Zbl 1075.35052
Lenells, Jonatan
2004
Integrable evolution equations on spaces of tensor densities and their peakon solutions. Zbl 1214.35059
Lenells, Jonatan; Misiołek, Gerard; Tiğlay, Feride
2010
Exact results for perturbative Chern-Simons theory with complex gauge group. Zbl 1214.81151
Dimofte, Tudor; Gukov, Sergei; Lenells, Jonatan; Zagier, Don
2009
The Hunter-Saxton equation describes the geodesic flow on a sphere. Zbl 1125.35085
Lenells, Jonatan
2007
Numerical study of traveling-wave solutions for the Camassa–Holm equation. Zbl 1136.35448
Kalisch, Henrik; Lenells, Jonatan
2005
The unified method. I: Nonlinearizable problems on the half-line. Zbl 1256.35044
Fokas, A. S.; Lenells, J.
2012
The scattering approach for the Camassa-Holm equation. Zbl 1014.35082
Lenells, Jonatan
2002
Initial-boundary value problems for integrable evolution equations with $$3\times 3$$ Lax pairs. Zbl 1251.35006
Lenells, Jonatan
2012
The geometry of the two-component Camassa-Holm and Degasperis-Procesi equations. Zbl 1210.58007
Escher, J.; Kohlmann, M.; Lenells, J.
2011
On a novel integrable generalization of the nonlinear Schrödinger equation. Zbl 1160.35536
Lenells, J.; Fokas, A. S.
2009
The Degasperis-Procesi equation on the half-line. Zbl 1253.35138
Lenells, Jonatan
2013
The Hunter-Saxton equation: A geometric approach. Zbl 1168.35424
Lenells, Jonatan
2008
Exactly solvable model for nonlinear pulse propagation in optical fibers. Zbl 1171.35473
Lenells, Jonatan
2009
An integrable generalization of the nonlinear Schrödinger equation on the half-line and solitons. Zbl 1181.35335
Lenells, J.; Fokas, A. S.
2009
Geometry of diffeomorphism groups, complete integrability and geometric statistics. Zbl 1275.58006
Khesin, Boris A.; Lenells, Jonatan; Misiołek, Gerard; Preston, Stephen C.
2013
The unified method. II: NLS on the half-line with $$t$$-periodic boundary conditions. Zbl 1256.35045
Lenells, J.; Fokas, A. S.
2012
The derivative nonlinear Schrödinger equation on the half-line. Zbl 1161.35503
Lenells, Jonatan
2008
Weak geodesic flow and global solutions of the Hunter-Saxton equation. Zbl 1140.35388
Lenells, Jonatan
2007
The nonlinear steepest descent method for Riemann-Hilbert problems of low regularity. Zbl 1377.41020
Lenells, Jonatan
2017
Dressing for a novel integrable generalization of the nonlinear Schrödinger equation. Zbl 1209.35130
Lenells, Jonatan
2010
Explicit soliton asymptotics for the Korteweg-de Vries equation on the half-line. Zbl 1211.37084
Fokas, A. S.; Lenells, J.
2010
The correspondence between KdV and Camassa-Holm. Zbl 1082.35134
Lenells, Jonatan
2004
The unified method. III: Nonlinearizable problems on the interval. Zbl 1256.35046
Lenells, J.; Fokas, A. S.
2012
The nonlinear steepest descent method: asymptotics for initial-boundary value problems. Zbl 1356.41015
Lenells, Jonatan
2016
On the weakly dissipative Camassa-Holm, Degasperis-Procesi, and Novikov equations. Zbl 1284.35376
Lenells, Jonatan; Wunsch, Marcus
2013
Long-time asymptotics for the Degasperis-Procesi equation on the half-line. (Comportement asymptotique en temps grand de l’équation de Degasperis-Procesi sur la demi-droite.) Zbl 1417.35163
Boutet de Monvel, Anne; Lenells, Jonatan; Shepelsky, Dmitry
2019
Stability of the $$\mu$$-Camassa-Holm peakons. Zbl 1258.35173
Chen, Robin Ming; Lenells, Jonatan; Liu, Yue
2013
Curvatures of Sobolev metrics on diffeomorphism groups. Zbl 1287.58007
Khesin, B.; Lenells, J.; Misiołek, G.; Preston, S. C.
2013
On the inverse scattering approach to the Camassa-Holm equation. Zbl 1038.35067
2003
Boundary-value problems for the stationary axisymmetric Einstein equations: a rotating disc. Zbl 1221.35416
Lenells, J.; Fokas, A. S.
2011
Boundary value problems for the stationary axisymmetric Einstein equations: a disk rotating around a black hole. Zbl 1225.35236
Lenells, Jonatan
2011
Long-time asymptotics for the derivative nonlinear Schrödinger equation on the half-line. Zbl 1375.35474
Arruda, Lynnyngs Kelly; Lenells, Jonatan
2017
Classification of all travelling-wave solutions for some nonlinear dispersive equations. Zbl 1152.35464
Lenells, Jonatan
2007
Traveling wave solutions of the Camassa-Holm and Korteweg-de Vries equations. Zbl 1069.35072
Lenells, Jonatan
2004
Matrix Riemann-Hilbert problems with jumps across Carleson contours. Zbl 1397.35163
Lenells, Jonatan
2018
Stability for the periodic Camassa-Holm equation. Zbl 1085.35032
Lenells, Jonatan
2005
The nonlinear Schrödinger equation with $$t$$-periodic data: II: Perturbative results. Zbl 1371.35274
Lenells, J.; Fokas, A. S.
2015
Traveling waves in compressible elastic rods. Zbl 1091.35098
Lenells, Jonatan
2006
The nonlinear Schrödinger equation with $$t$$-periodic data: I. Exact results. Zbl 1371.35273
Lenells, J.; Fokas, A. S.
2015
On the inverse scattering approach for an integrable shallow water wave equation. Zbl 1010.76011
2003
Spheres, Kähler geometry and the Hunter-Saxton system. Zbl 1404.53112
Lenells, Jonatan
2013
Asymptotics for the Sasa-Satsuma equation in terms of a modified Painlevé II transcendent. Zbl 1435.35270
Huang, Lin; Lenells, Jonatan
2020
Classification of traveling waves for a class of nonlinear wave equations. Zbl 1138.35397
Lenells, Jonatan
2006
Integrability of invariant metrics on the Virasoro group. Zbl 1195.58006
Constantin, A.; Kolev, B.; Lenells, J.
2006
Construction of solutions and asymptotics for the sine-Gordon equation in the quarter plane. Zbl 1397.37079
Huang, Lin; Lenells, Jonatan
2018
Boundary value problems for the elliptic sine-Gordon equation in a semi-strip. Zbl 1267.35094
Fokas, A. S.; Lenells, J.; Pelloni, B.
2013
Riemannian geometry on the diffeomorphism group of the circle. Zbl 1149.58003
Lenells, Jonatan
2007
On a novel integrable generalization of the sine-Gordon equation. Zbl 1309.35138
Lenells, J.; Fokas, A. S.
2010
The focusing NLS equation with step-like oscillating background: scenarios of long-time asymptotics. Zbl 1466.35322
Boutet de Monvel, Anne; Lenells, Jonatan; Shepelsky, Dmitry
2021
Nonlinear Fourier transforms and the mKdV equation in the quarter plane. Zbl 1335.35217
Lenells, Jonatan
2016
The solution of the global relation for the derivative nonlinear Schrödinger equation on the half-line. Zbl 1220.37062
Lenells, Jonatan
2011
The Hunter-Saxton system and the geodesics on a pseudosphere. Zbl 1282.58019
Lenells, Jonatan; Wunsch, Marcus
2013
The KdV equation on the half-line: the Dirichlet to Neumann map. Zbl 1273.35239
Lenells, Jonatan
2013
Schramm’s formula and the Green’s function for multiple SLE. Zbl 1435.30122
Lenells, Jonatan; Viklund, Fredrik
2019
Higher order large gap asymptotics at the hard edge for Muttalib-Borodin ensembles. Zbl 1465.60008
Charlier, Christophe; Lenells, Jonatan; Mauersberger, Julian
2021
A bi-Hamiltonian supersymmetric geodesic equation. Zbl 1191.37034
Lenells, Jonatan
2008
Infinite propagation speed of the Camassa-Holm equation. Zbl 1160.35323
Lenells, Jonatan
2007
Admissible boundary values for the defocusing nonlinear Schrödinger equation with asymptotically time-periodic data. Zbl 1332.35340
Lenells, Jonatan
2015
Nonlinear Fourier transforms for the sine-Gordon equation in the quarter plane. Zbl 1388.37074
Huang, Lin; Lenells, Jonatan
2018
Periodic solitons of an equation for short capillary-gravity waves. Zbl 1160.35502
Lenells, Jonatan
2009
A periodic hexagon tiling model and non-Hermitian orthogonal polynomials. Zbl 1446.52017
Charlier, Christophe; Duits, M.; Kuijlaars, A. B. J.; Lenells, J.
2020
Amari-Chentsov connections and their geodesics on homogeneous spaces of diffeomorphism groups. Zbl 1305.58008
Lenells, J.; Misiołek, G.
2014
Poisson structure of a modified Hunter-Saxton equation. Zbl 1145.37036
Lenells, Jonatan
2008
An integrable generalization of the sine-Gordon equation on the half-line. Zbl 1220.35161
Lenells, Jonatan
2011
Airy and Painlevé asymptotics for the mKdV equation. Zbl 1443.37054
Charlier, Christophe; Lenells, Jonatan
2020
Exact solution of a Neumann boundary value problem for the stationary axisymmetric Einstein equations. Zbl 1429.83012
Lenells, Jonatan; Pei, Long
2019
A two-component geodesic equation on a space of constant positive curvature. Zbl 1242.53056
Lenells, Jonatan; Yang, Zhao
2012
The unified transform for the modified Helmholtz equation in the exterior of a square. Zbl 1347.65183
Fokas, A. S.; Lenells, J.
2015
The multiplicative constant for the Meijer-$$G$$ kernel determinant. Zbl 1470.60130
Charlier, Christophe; Lenells, Jonatan; Mauersberger, Julian
2021
Oscillatory asymptotics for the Airy kernel determinant on two intervals. Zbl 07487070
Blackstone, Elliot; Charlier, Christophe; Lenells, Jonatan
2022
Confluent conformal blocks of the second kind. Zbl 1437.81079
Lenells, Jonatan; Roussillon, Julien
2020
The defocusing nonlinear Schrödinger equation with $$t$$-periodic data: new exact solutions. Zbl 1327.35355
Lenells, Jonatan
2015
The KdV equation on the half-line: time-periodicity and mass transport. Zbl 1439.35424
Bona, Jerry L.; Lenells, Jonatan
2020
The hyperbolic Ernst equation in a triangular domain. Zbl 1435.35382
Lenells, Jonatan; Mauersberger, Julian
2020
Spin generalizations of the Benjamin-Ono equation. Zbl 1491.35390
Berntson, Bjorn K.; Langmann, Edwin; Lenells, Jonatan
2022
Oscillatory asymptotics for the Airy kernel determinant on two intervals. Zbl 07487070
Blackstone, Elliot; Charlier, Christophe; Lenells, Jonatan
2022
Spin generalizations of the Benjamin-Ono equation. Zbl 1491.35390
Berntson, Bjorn K.; Langmann, Edwin; Lenells, Jonatan
2022
The focusing NLS equation with step-like oscillating background: scenarios of long-time asymptotics. Zbl 1466.35322
Boutet de Monvel, Anne; Lenells, Jonatan; Shepelsky, Dmitry
2021
Higher order large gap asymptotics at the hard edge for Muttalib-Borodin ensembles. Zbl 1465.60008
Charlier, Christophe; Lenells, Jonatan; Mauersberger, Julian
2021
The multiplicative constant for the Meijer-$$G$$ kernel determinant. Zbl 1470.60130
Charlier, Christophe; Lenells, Jonatan; Mauersberger, Julian
2021
Asymptotics for the Sasa-Satsuma equation in terms of a modified Painlevé II transcendent. Zbl 1435.35270
Huang, Lin; Lenells, Jonatan
2020
A periodic hexagon tiling model and non-Hermitian orthogonal polynomials. Zbl 1446.52017
Charlier, Christophe; Duits, M.; Kuijlaars, A. B. J.; Lenells, J.
2020
Airy and Painlevé asymptotics for the mKdV equation. Zbl 1443.37054
Charlier, Christophe; Lenells, Jonatan
2020
Confluent conformal blocks of the second kind. Zbl 1437.81079
Lenells, Jonatan; Roussillon, Julien
2020
The KdV equation on the half-line: time-periodicity and mass transport. Zbl 1439.35424
Bona, Jerry L.; Lenells, Jonatan
2020
The hyperbolic Ernst equation in a triangular domain. Zbl 1435.35382
Lenells, Jonatan; Mauersberger, Julian
2020
Long-time asymptotics for the Degasperis-Procesi equation on the half-line. (Comportement asymptotique en temps grand de l’équation de Degasperis-Procesi sur la demi-droite.) Zbl 1417.35163
Boutet de Monvel, Anne; Lenells, Jonatan; Shepelsky, Dmitry
2019
Schramm’s formula and the Green’s function for multiple SLE. Zbl 1435.30122
Lenells, Jonatan; Viklund, Fredrik
2019
Exact solution of a Neumann boundary value problem for the stationary axisymmetric Einstein equations. Zbl 1429.83012
Lenells, Jonatan; Pei, Long
2019
Matrix Riemann-Hilbert problems with jumps across Carleson contours. Zbl 1397.35163
Lenells, Jonatan
2018
Construction of solutions and asymptotics for the sine-Gordon equation in the quarter plane. Zbl 1397.37079
Huang, Lin; Lenells, Jonatan
2018
Nonlinear Fourier transforms for the sine-Gordon equation in the quarter plane. Zbl 1388.37074
Huang, Lin; Lenells, Jonatan
2018
The nonlinear steepest descent method for Riemann-Hilbert problems of low regularity. Zbl 1377.41020
Lenells, Jonatan
2017
Long-time asymptotics for the derivative nonlinear Schrödinger equation on the half-line. Zbl 1375.35474
Arruda, Lynnyngs Kelly; Lenells, Jonatan
2017
The nonlinear steepest descent method: asymptotics for initial-boundary value problems. Zbl 1356.41015
Lenells, Jonatan
2016
Nonlinear Fourier transforms and the mKdV equation in the quarter plane. Zbl 1335.35217
Lenells, Jonatan
2016
The nonlinear Schrödinger equation with $$t$$-periodic data: II: Perturbative results. Zbl 1371.35274
Lenells, J.; Fokas, A. S.
2015
The nonlinear Schrödinger equation with $$t$$-periodic data: I. Exact results. Zbl 1371.35273
Lenells, J.; Fokas, A. S.
2015
Admissible boundary values for the defocusing nonlinear Schrödinger equation with asymptotically time-periodic data. Zbl 1332.35340
Lenells, Jonatan
2015
The unified transform for the modified Helmholtz equation in the exterior of a square. Zbl 1347.65183
Fokas, A. S.; Lenells, J.
2015
The defocusing nonlinear Schrödinger equation with $$t$$-periodic data: new exact solutions. Zbl 1327.35355
Lenells, Jonatan
2015
Amari-Chentsov connections and their geodesics on homogeneous spaces of diffeomorphism groups. Zbl 1305.58008
Lenells, J.; Misiołek, G.
2014
The Degasperis-Procesi equation on the half-line. Zbl 1253.35138
Lenells, Jonatan
2013
Geometry of diffeomorphism groups, complete integrability and geometric statistics. Zbl 1275.58006
Khesin, Boris A.; Lenells, Jonatan; Misiołek, Gerard; Preston, Stephen C.
2013
On the weakly dissipative Camassa-Holm, Degasperis-Procesi, and Novikov equations. Zbl 1284.35376
Lenells, Jonatan; Wunsch, Marcus
2013
Stability of the $$\mu$$-Camassa-Holm peakons. Zbl 1258.35173
Chen, Robin Ming; Lenells, Jonatan; Liu, Yue
2013
Curvatures of Sobolev metrics on diffeomorphism groups. Zbl 1287.58007
Khesin, B.; Lenells, J.; Misiołek, G.; Preston, S. C.
2013
Spheres, Kähler geometry and the Hunter-Saxton system. Zbl 1404.53112
Lenells, Jonatan
2013
Boundary value problems for the elliptic sine-Gordon equation in a semi-strip. Zbl 1267.35094
Fokas, A. S.; Lenells, J.; Pelloni, B.
2013
The Hunter-Saxton system and the geodesics on a pseudosphere. Zbl 1282.58019
Lenells, Jonatan; Wunsch, Marcus
2013
The KdV equation on the half-line: the Dirichlet to Neumann map. Zbl 1273.35239
Lenells, Jonatan
2013
The unified method. I: Nonlinearizable problems on the half-line. Zbl 1256.35044
Fokas, A. S.; Lenells, J.
2012
Initial-boundary value problems for integrable evolution equations with $$3\times 3$$ Lax pairs. Zbl 1251.35006
Lenells, Jonatan
2012
The unified method. II: NLS on the half-line with $$t$$-periodic boundary conditions. Zbl 1256.35045
Lenells, J.; Fokas, A. S.
2012
The unified method. III: Nonlinearizable problems on the interval. Zbl 1256.35046
Lenells, J.; Fokas, A. S.
2012
A two-component geodesic equation on a space of constant positive curvature. Zbl 1242.53056
Lenells, Jonatan; Yang, Zhao
2012
The geometry of the two-component Camassa-Holm and Degasperis-Procesi equations. Zbl 1210.58007
Escher, J.; Kohlmann, M.; Lenells, J.
2011
Boundary-value problems for the stationary axisymmetric Einstein equations: a rotating disc. Zbl 1221.35416
Lenells, J.; Fokas, A. S.
2011
Boundary value problems for the stationary axisymmetric Einstein equations: a disk rotating around a black hole. Zbl 1225.35236
Lenells, Jonatan
2011
The solution of the global relation for the derivative nonlinear Schrödinger equation on the half-line. Zbl 1220.37062
Lenells, Jonatan
2011
An integrable generalization of the sine-Gordon equation on the half-line. Zbl 1220.35161
Lenells, Jonatan
2011
Inverse scattering transform for the Degasperis-Procesi equation. Zbl 1211.37081
Constantin, Adrian; Ivanov, Rossen I.; Lenells, Jonatan
2010
Integrable evolution equations on spaces of tensor densities and their peakon solutions. Zbl 1214.35059
Lenells, Jonatan; Misiołek, Gerard; Tiğlay, Feride
2010
Dressing for a novel integrable generalization of the nonlinear Schrödinger equation. Zbl 1209.35130
Lenells, Jonatan
2010
Explicit soliton asymptotics for the Korteweg-de Vries equation on the half-line. Zbl 1211.37084
Fokas, A. S.; Lenells, J.
2010
On a novel integrable generalization of the sine-Gordon equation. Zbl 1309.35138
Lenells, J.; Fokas, A. S.
2010
Exact results for perturbative Chern-Simons theory with complex gauge group. Zbl 1214.81151
Dimofte, Tudor; Gukov, Sergei; Lenells, Jonatan; Zagier, Don
2009
On a novel integrable generalization of the nonlinear Schrödinger equation. Zbl 1160.35536
Lenells, J.; Fokas, A. S.
2009
Exactly solvable model for nonlinear pulse propagation in optical fibers. Zbl 1171.35473
Lenells, Jonatan
2009
An integrable generalization of the nonlinear Schrödinger equation on the half-line and solitons. Zbl 1181.35335
Lenells, J.; Fokas, A. S.
2009
Periodic solitons of an equation for short capillary-gravity waves. Zbl 1160.35502
Lenells, Jonatan
2009
Generalized Hunter-Saxton equation and the geometry of the group of circle diffeomorphisms. Zbl 1156.35082
Khesin, Boris; Lenells, Jonatan; Misiołek, Gerard
2008
The Hunter-Saxton equation: A geometric approach. Zbl 1168.35424
Lenells, Jonatan
2008
The derivative nonlinear Schrödinger equation on the half-line. Zbl 1161.35503
Lenells, Jonatan
2008
A bi-Hamiltonian supersymmetric geodesic equation. Zbl 1191.37034
Lenells, Jonatan
2008
Poisson structure of a modified Hunter-Saxton equation. Zbl 1145.37036
Lenells, Jonatan
2008
The Hunter-Saxton equation describes the geodesic flow on a sphere. Zbl 1125.35085
Lenells, Jonatan
2007
Weak geodesic flow and global solutions of the Hunter-Saxton equation. Zbl 1140.35388
Lenells, Jonatan
2007
Classification of all travelling-wave solutions for some nonlinear dispersive equations. Zbl 1152.35464
Lenells, Jonatan
2007
Riemannian geometry on the diffeomorphism group of the circle. Zbl 1149.58003
Lenells, Jonatan
2007
Infinite propagation speed of the Camassa-Holm equation. Zbl 1160.35323
Lenells, Jonatan
2007
Traveling waves in compressible elastic rods. Zbl 1091.35098
Lenells, Jonatan
2006
Classification of traveling waves for a class of nonlinear wave equations. Zbl 1138.35397
Lenells, Jonatan
2006
Integrability of invariant metrics on the Virasoro group. Zbl 1195.58006
Constantin, A.; Kolev, B.; Lenells, J.
2006
Traveling wave solutions of the Camassa-Holm equation. Zbl 1082.35127
Lenells, Jonatan
2005
Traveling wave solutions of the Degasperis-Procesi equation. Zbl 1068.35163
Lenells, Jonatan
2005
Conservation laws of the Camassa-Holm equation. Zbl 1076.35100
Lenells, Jonatan
2005
Numerical study of traveling-wave solutions for the Camassa–Holm equation. Zbl 1136.35448
Kalisch, Henrik; Lenells, Jonatan
2005
Stability for the periodic Camassa-Holm equation. Zbl 1085.35032
Lenells, Jonatan
2005
A variational approach to the stability of periodic peakons. Zbl 1067.35076
Lenells, Jonatan
2004
Stability of periodic peakons. Zbl 1075.35052
Lenells, Jonatan
2004
The correspondence between KdV and Camassa-Holm. Zbl 1082.35134
Lenells, Jonatan
2004
Traveling wave solutions of the Camassa-Holm and Korteweg-de Vries equations. Zbl 1069.35072
Lenells, Jonatan
2004
On the inverse scattering approach to the Camassa-Holm equation. Zbl 1038.35067
2003
On the inverse scattering approach for an integrable shallow water wave equation. Zbl 1010.76011
2003
The scattering approach for the Camassa-Holm equation. Zbl 1014.35082
Lenells, Jonatan
2002
all top 5

### Cited by 952 Authors

 47 Lenells, Jonatan 42 Yin, Zhaoyang 31 Tian, Lixin 30 Liu, Yue 26 Himonas, A. Alexandrou 24 Guo, Boling 23 Fan, Engui 21 Geng, Xianguo 20 Qiao, Zhijun 20 Qu, Changzheng 17 Zhou, Shouming 16 Shepelsky, Dmitry 15 Mi, Yongsheng 15 Mu, Chunlai 15 Xu, Jian 13 Bauer, Martin 13 Liu, Zhengrong 13 Moon, Byungsoo 12 Kaikina, Elena Igorevna 12 Lai, Shaoyong 11 Chen, Aiyong 11 Escher, Joachim 11 Fu, Ying 11 Gukov, Sergei 11 Hu, Beibei 11 Hwang, Guenbo 11 Li, Jibin 11 Liu, Nan 11 Preston, Stephen C. 11 Shen, Chunyu 11 Yin, Jiuli 10 Boutet de Monvel, Anne Marie 10 Mantzavinos, Dionyssios 10 Xia, Tie-Cheng 10 Zhu, Min 9 Chen, Mingming 9 Constantin, Adrian 9 Dimofte, Tudor Dan 9 Guo, Yunxi 9 Ma, Wen-Xiu 9 Wang, Kedong 9 Yan, Zhenya 9 Zhou, Jiangbo 8 Fan, Xinghua 8 Fokas, Athanassios S. 8 Kolev, Boris 8 Misiołek, Gerard 8 Tian, Shoufu 8 Xue, Bo 8 Yan, Kai 7 Gang, Dongmin 7 Geyer, Anna 7 Gui, Guilong 7 Kohlmann, Martin 7 Liu, Xiaochuan 7 Luo, Ting 7 Modin, Klas 7 Wunsch, Marcus 7 Zhang, Lei 7 Zhang, Ling 6 Chen, Robin Ming 6 Deng, Xijun 6 Freire, Igor Leite 6 Gao, Anna 6 He, Huijun 6 Huang, Wentao 6 Ivanov, Rossen I. 6 Li, Jinlu 6 Li, Nianhua 6 Li, Yongsheng 6 Liu, Jingjing 6 Long, Yao 6 Petronilho, Gerson 6 Rybalko, Yan 6 Sheu, Tony Wen-Hann 6 Yan, Fangchi 6 Yan, Wei 6 Zhu, Wenjing 5 Charlier, Christophe 5 Chen, Yong 5 Gao, Hongjun 5 Guha, Partha 5 Holliman, Curtis 5 Khesin, Boris A. 5 Li, Fengquan 5 Li, Ruomeng 5 Ling, Liming 5 Mustafa, Octavian G. 5 Quirchmayr, Ronald 5 Raynaud, Xavier 5 Rui, Weiguo 5 Salupere, Andrus 5 Sarria, Alejandro 5 Tang, Hao 5 Teschl, Gerald 5 Wang, Dengshan 5 Xia, Baoqiang 5 Zhang, Shuanghu 5 Zhang, Ying 4 Anco, Stephen C. ...and 852 more Authors
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### Cited in 182 Serials

 80 Journal of Differential Equations 58 Journal of Mathematical Physics 53 Journal of Nonlinear Mathematical Physics 49 Journal of Mathematical Analysis and Applications 45 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 31 Discrete and Continuous Dynamical Systems 29 Nonlinear Analysis. Real World Applications 25 Journal of High Energy Physics 24 Applicable Analysis 24 Communications in Mathematical Physics 20 Monatshefte für Mathematik 20 Journal of Nonlinear Science 19 Applied Mathematics and Computation 18 Physica D 15 Chaos, Solitons and Fractals 14 Journal of Geometry and Physics 13 Journal of Functional Analysis 12 Studies in Applied Mathematics 12 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 11 Letters in Mathematical Physics 11 SIAM Journal on Mathematical Analysis 11 Nonlinear Dynamics 10 Theoretical and Mathematical Physics 10 Boundary Value Problems 9 Archive for Rational Mechanics and Analysis 9 Nonlinearity 9 Journal of Computational and Applied Mathematics 9 Mathematical Physics, Analysis and Geometry 9 Journal of Evolution Equations 8 Mathematical Methods in the Applied Sciences 8 Applied Mathematics Letters 8 Advances in Difference Equations 8 Analysis and Mathematical Physics 7 Journal of Dynamics and Differential Equations 7 Calculus of Variations and Partial Differential Equations 7 Journal of Mathematical Fluid Mechanics 7 Advances in Mathematical Physics 6 Journal of Computational Physics 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Advances in Mathematics 6 Quarterly of Applied Mathematics 6 Mathematical Problems in Engineering 6 Abstract and Applied Analysis 5 Wave Motion 5 Chinese Annals of Mathematics. Series B 5 Applied Numerical Mathematics 5 Acta Mathematicae Applicatae Sinica. English Series 5 Communications in Nonlinear Science and Numerical Simulation 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Journal of Geometric Mechanics 4 Physics Letters. A 4 Reviews in Mathematical Physics 4 Mathematische Annalen 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Communications in Partial Differential Equations 4 Journal of Inequalities and Applications 4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Discrete and Continuous Dynamical Systems. Series S 4 Electronic Research Archive 3 Computers & Mathematics with Applications 3 Annales de l’Institut Fourier 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Mathematics and Computers in Simulation 3 Proceedings of the American Mathematical Society 3 Acta Applicandae Mathematicae 3 Annals of Global Analysis and Geometry 3 Revista Matemática Iberoamericana 3 Differential Geometry and its Applications 3 Chaos 3 Acta Mathematica Sinica. English Series 3 Annales Henri Poincaré 3 Discrete and Continuous Dynamical Systems. Series B 3 Communications on Pure and Applied Analysis 3 Journal of Physics A: Mathematical and Theoretical 3 Science China. Mathematics 3 SN Partial Differential Equations and Applications 2 Nuclear Physics. B 2 Reports on Mathematical Physics 2 Ukrainian Mathematical Journal 2 BIT 2 Journal of Approximation Theory 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Nachrichten 2 Numerische Mathematik 2 Topology and its Applications 2 Numerical Methods for Partial Differential Equations 2 Journal of Scientific Computing 2 International Journal of Mathematics 2 The Journal of Geometric Analysis 2 International Journal of Computer Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Stochastic Processes and their Applications 2 Journal of Knot Theory and its Ramifications 2 SIAM Journal on Scientific Computing 2 Journal of Mathematical Sciences (New York) 2 Electronic Journal of Differential Equations (EJDE) 2 Computational and Applied Mathematics 2 NoDEA. Nonlinear Differential Equations and Applications 2 Opuscula Mathematica ...and 82 more Serials
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### Cited in 49 Fields

 878 Partial differential equations (35-XX) 344 Dynamical systems and ergodic theory (37-XX) 126 Fluid mechanics (76-XX) 70 Global analysis, analysis on manifolds (58-XX) 63 Numerical analysis (65-XX) 59 Quantum theory (81-XX) 54 Ordinary differential equations (34-XX) 46 Differential geometry (53-XX) 27 Approximations and expansions (41-XX) 27 Manifolds and cell complexes (57-XX) 24 Mechanics of deformable solids (74-XX) 22 Probability theory and stochastic processes (60-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 18 Optics, electromagnetic theory (78-XX) 15 Relativity and gravitational theory (83-XX) 14 Statistical mechanics, structure of matter (82-XX) 13 Functions of a complex variable (30-XX) 12 Nonassociative rings and algebras (17-XX) 12 Systems theory; control (93-XX) 10 Operator theory (47-XX) 10 Geophysics (86-XX) 9 Algebraic geometry (14-XX) 9 Special functions (33-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Mechanics of particles and systems (70-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Real functions (26-XX) 7 Topological groups, Lie groups (22-XX) 7 Integral equations (45-XX) 7 Functional analysis (46-XX) 6 Several complex variables and analytic spaces (32-XX) 4 Number theory (11-XX) 4 Commutative algebra (13-XX) 4 Statistics (62-XX) 3 Potential theory (31-XX) 3 Geometry (51-XX) 3 Biology and other natural sciences (92-XX) 3 Information and communication theory, circuits (94-XX) 2 Combinatorics (05-XX) 2 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 2 Convex and discrete geometry (52-XX) 2 Computer science (68-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Classical thermodynamics, heat transfer (80-XX)

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