Multi-peakon solutions of the Degasperis–Procesi equation H Lundmark, J Szmigielski Inverse problems 19 (6), 1241, 2003 | 331 | 2003 |
Multi-peakons and a theorem of Stieltjes R Beals, DH Sattinger, J Szmigielski Inverse Problems 15 (1), L1, 1999 | 309 | 1999 |
Multipeakons and the classical moment problem R Beals, DH Sattinger, J Szmigielski Advances in Mathematics 154 (2), 229-257, 2000 | 306 | 2000 |
Acoustic scattering and the extended Korteweg–de Vries hierarchy R Beals, DH Sattinger, J Szmigielski Advances in Mathematics 140 (2), 190-206, 1998 | 265 | 1998 |
Explicit multipeakon solutions of Novikov's cubically nonlinear integrable Camassa-Holm type equation ANW Hone, H Lundmark, J Szmigielski arXiv preprint arXiv:0903.3663, 2009 | 225 | 2009 |
Degasperis-Procesi peakons and the discrete cubic string H Lundmark, J Szmigielski International Mathematics Research Papers 2005 (2), 53-116, 2005 | 137 | 2005 |
Meijer G-functions: a gentle introduction R Beals, J Szmigielski Notices of the AMS 60 (7), 866-872, 2013 | 122 | 2013 |
Inverse scattering solutions of the hunter-saxton equation: hunter-saxton equation R Beals, DH Sattinger, J Szmigielski Applicable Analysis 78 (3-4), 255-269, 2001 | 116 | 2001 |
Cauchy biorthogonal polynomials M Bertola, M Gekhtman, J Szmigielski Journal of Approximation Theory 162 (4), 832-867, 2010 | 70 | 2010 |
An inverse spectral problem related to the Geng–Xue two-component peakon equation H Lundmark, J Szmigielski American Mathematical Society 244 (1155), 2016 | 69 | 2016 |
The Cauchy two-matrix model M Bertola, M Gekhtman, J Szmigielski Communications in Mathematical Physics 287 (3), 983-1014, 2009 | 69 | 2009 |
Cauchy–Laguerre two-matrix model and the Meijer-G random point field M Bertola, M Gekhtman, J Szmigielski Communications in Mathematical Physics 326, 111-144, 2014 | 62 | 2014 |
Vertex operator algebras and the representation theory of toroidal algebras S Berman, Y Billig, J Szmigielski arXiv preprint math/0101094, 2001 | 55 | 2001 |
Lax integrability and the peakon problem for the modified Camassa–Holm equation X Chang, J Szmigielski Communications in Mathematical Physics 358, 295-341, 2018 | 48 | 2018 |
Energy dependent scattering theory DH Sattinger, J Szmigielski | 46 | 1995 |
Peakons, strings, and the finite Toda lattice R Beals, DH Sattinger, J Szmigielski Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2001 | 41 | 2001 |
Multipeakons of a two-component modified Camassa–Holm equation and the relation with the finite Kac–van Moerbeke lattice XK Chang, XB Hu, J Szmigielski Advances in Mathematics 299, 1-35, 2016 | 39 | 2016 |
Automorphisms of Banach manifolds associated with the KP-equation J Dorfmeister, E Neher, J Szmigielski The Quarterly Journal of Mathematics 40 (2), 161-195, 1989 | 38 | 1989 |
Principal realization for the extended affine Lie algebra of type sl2 with coordinates in a simple quantum torus with two generators S Berman, J Szmigielski Contemporary Mathematics 248, 39-68, 1999 | 37 | 1999 |
Peakon-antipeakon interaction R Beals, DH Sattinger, J Szmigielski Journal of Nonlinear Mathematical Physics 8 (sup1), 23-27, 2001 | 35 | 2001 |