Publications
2022
Scholarly publications
Kac, V. G., & van de Leur, J. (2022). Polynomial Tau-Functions for the Multicomponent KP Hierarchy. Publications of the Research Institute for Mathematical Sciences, 58(1), 1-19. https://doi.org/10.4171/PRIMS/58-1-1
2021
Scholarly publications
Carlet, G., Leur, J. V. D., Posthuma, H., & Shadrin, S. (2021). Higher genera Catalan numbers and Hirota equations for extended nonlinear Schrödinger hierarchy. Letters in Mathematical Physics, 111(3), 1-67. [63]. https://doi.org/10.1007/s11005-021-01391-4
Kac, V. G., Rozkovskaya, N., & van de Leur, J. (2021). Polynomial tau-functions of the KP, BKP, and the s-component KP hierarchies. Journal of Mathematical Physics, 62(2), [021702]. https://doi.org/10.1063/5.0013017
2020
Scholarly publications
van de Leur, J. W., Kac, V. G., Carpentier, S., Valeri, D., & De Sole, A. (2020). p-reduced Multicomponent KP Hierarchy and Classical W-algebras W(gl_N,p). Communications in Mathematical Physics, 380, 655-722. https://doi.org/10.1007/s00220-020-03817-x
2019
Scholarly publications
van de Leur, J. W., & Kac, V. G. (2019). Polynomial tau-functions of BKP and DKP hierarchies. Journal of Mathematical Physics, 60(7). https://doi.org/10.1063/1.5085310
2018
Scholarly publications
van de Leur, J. W., & Orlov, A. (2018). Character expansion of matrix integrals. Journal of Physics A, 51. https://doi.org/10.1088/1751-8121/aa9345
Kac, V. G., & van de Leur, J. W. (2018). Equivalence of formulations of the MKP hierarchy and its polynomial tau-functions. Japanese Journal of Mathematics, 13(2), 235-271. https://doi.org/10.1007/s11537-018-1803-1
Other output
Goris, A. J. G., de Haan, D. L., Wijers, M. M., Jansen, J., Kaspers, K., van de Leur, J. W., & Stolwijk, R. (2018). Wat wil je zeggen? en..... Opdracht voor de Finale van de Wiskunde A-lympiade 2017-2018. Freudenthal instituut.
2016
Scholarly publications
Stronks, L., Leur, J. V. D., & Schuricht, D. (2016). On rational R-matrices with adjoint SU(n) symmetry. Journal of Physics A: Mathematical and Theoretical, 49(44). https://doi.org/10.1088/1751-8113/49/44/444001
2015
Scholarly publications
van de Leur, J. W., & Orlov, A. (2015). Pfaffian and determinantal tau functions. Letters in Mathematical Physics, 105(11), 1499-1531. https://doi.org/10.1007/s11005-015-0786-6
2014
Scholarly publications
van de Leur, J., Carlet, G., Shadrin, S., & Posthuma, H. (2014). Towards Lax Formulation of Integrable Hierarchies of Topological Type. Communications in Mathematical Physics, 326, 815-849. https://doi.org/10.1007/s00220-014-1898-z
van de Leur, J. (2014). The (n,1)-Reduced DKP Hierarchy, the String Equation and W Constraints. Symmetry, Integrability and Geometry: Methods and Applications, 10, [007]. https://doi.org/10.3842/SIGMA.2014.007
2013
Scholarly publications
van de Leur, J., Igonin, S., Manno, G., & Trushkov, V. (2013). Infinite-dimensional prolongation Lie algebras and multicomponent Landau–Lifshitz systems associated with higher genus curves. Journal of Geometry and Physics, 68, 1-26.
van de Leur, J., & Aratyn, H. (2013). Bäcklund transformations for certain rational solutions of Painlevé VI. Journal of Nonlinear Mathematical Physics, 20(supplement 1), 3-16. [ DOI:10.1080/14029251.2013.862430].
van de Leur, J., & Carlet, G. (2013). Hirota equations for the extended bigraded Toda hierarchy and the total descendent potential of CP^1 orbifolds. Journal of Physics A, 46(40), 405205. [doi:10.1088/1751-8113/46/40/405205].
2012
Scholarly publications
van de Leur, J. W., Orlov, A. Y., & Shiota, T. (2012). CKP Hierarchy, Bosonic Tau Function and Bosonization Formulae. Symmetry, Integrability and Geometry: Methods and Applications, 8, 036/1-036/28. [036]. https://doi.org/10.3842/SIGMA.2012.036
Balibanu, D. M., & van de Leur, J. W. (2012). Irreducible highest weight representations of the simple n-Lie algebra. Transformation Groups, 17(3), 593-613. https://doi.org/10.1007/s00031-012-9189-2
2011
Scholarly publications
van de Leur, J., Harnad, J., & Orlov, A. (2011). Multiple sums and integrals as neutral BKP tau functions. Theoretical and Mathematical Physics, 168(1), 951-962.
Kiselev, A. V., & van de Leur, J. W. (2011). Variational Lie algebroids and homological evolutionary vector fields. Theoretical and Mathematical Physics, 167(3), 772-784. https://doi.org/10.1007/s11232-011-0061-7
https://dspace.library.uu.nl/bitstream/handle/1874/197290/1006.4227v3.pdf?sequence=1
https://dspace.library.uu.nl/bitstream/handle/1874/197290/1006.4227v3.pdf?sequence=1
2010
Scholarly publications
Kiselev, A. V., & van de Leur, J. W. (2010). Symmetry algebras of Lagrangian Liouville-type systems. Theoretical and Mathematical Physics, 162(2), 149-162. https://doi.org/10.1007/s11232-010-0011-9
https://dspace.library.uu.nl/bitstream/handle/1874/194848/KISELEVSymmetry-algebras-of-Lagrangian-Liouville-type-systems_2010.pdf?sequence=1
https://dspace.library.uu.nl/bitstream/handle/1874/194848/KISELEVSymmetry-algebras-of-Lagrangian-Liouville-type-systems_2010.pdf?sequence=1
Kiselev, A. V., & van de Leur, J. W. (2010). Involutive distributions of operator-valued evolutionary vector fields and their affine geometry. In Summetríâ V : the 5th international workshop in Group Analysis of Differential Equations and Integrable Systems
https://dspace.library.uu.nl/bitstream/handle/1874/200576/kiselev0904.1555v3.pdf?sequence=1
https://dspace.library.uu.nl/bitstream/handle/1874/200576/kiselev0904.1555v3.pdf?sequence=1
Feigin, E., van de Leur, J. W., & Shadrin, S. (2010). Givental symmetries of Frobenius manifolds and multi-component KP tau-functions. Advances in Mathematics, 224(3), 1031-1056. https://doi.org/10.1016/j.aim.2009.12.015
2009
Scholarly publications
van de Leur, J. W., & Orlov, A. Y. (2009). Random turn walk on a half line with creation of particles at the origin. Physics Letters A, 373(31), 2675-2681.
Kiselev, A. V., & van de Leur, J. W. (2009). Hirota's virtual multisoliton solutions of N=2 supersymmetric KdV equations. Theoretical and Mathematical Physics, 159(3), 832-840.
Kiselev, A. V., & van de Leur, J. W. (2009). A family of second Lie algebra structures for symmetries of a dispersionless Boussinesq system. Journal of Physics. A. Mathematical and theoretical, 42(40).
2008
Scholarly publications
Aratyn, H., & van de Leur, J. W. (2008). Solutions of the Painlevé VI equation from reduction of integrable hierarchy in a Grassmannian approach. International mathematical resource notices, (080). http:// imrn.oxfordjournals.org/cgi/reprint080
Kiselev, A. V., & van de Leur, J. W. (2008). A geometric derivation of KdV-type hierarchies from root systems. In Proceedings of the 4th international workshop "Group Analysis of Differential Equations and Integrable Systems". (pp. 87-106). Protaras.
Kiselev, A. V., & van de Leur, J. W. (2008). Involutive distributions of operator-valued evolutionary vector fields. IHES Institut des Hautes Études Scientifiques -.
2007
Scholarly publications
Bisseling, R. H., Dajani, K., Dijkema, T. J., van de Leur, J. W., & Zegeling, P. A. (Eds.) (2007). Proceedings 58th European Study Group Mathematics with Industry Utrecht 2007: Utrecht, The Netherlands, January 29 – February 2, 2007. Universiteit Utrecht.
van de Leur, J. W., & Aratyn, H. (2007). Clifford Algebra Derivations of Tau-Functions for Two-Dimensional Integrable Models with Positive and Negative Flows. Symmetry, Integrability and Geometry: Methods and Applications, 3(20).
van de Leur, J. W. (2007). Bäcklund transformations for new integrable hierarchies related to the polynomial Lie algebra. Journal of Geometry and Physics, 57(2), 435-447. http://www.sciencedirect.com/science?_ob=MathURL&_method=retrieve&_udi=B6TJ8-4JWMT69-2&_mathId=mml1&_user=3021663&_cdi=5304&_rdoc=7&_handle=V-WA-A-W-WB-MsSAYWA-UUA-U-AAZCUYUAUZ-AAZWZZUEUZ-BDVVAEDZ-WB-U&_acct=C000021878&_version=1&_userid=3021663&md5=f92e2bf0ed1a475758ad70691c7a55af
2006
Scholarly publications
Aratyn, H., & van de Leur, J. W. (2006). The CKP hierarchy and the WDVV prepotential. In L. Faddeev, P. van Moerbeke, & F. Lambert (Eds.), Bilinear Integrable Systems: from Classical to Quantum, Continuous to Discrete (pp. 1-11). Springer.
2005
Scholarly publications
van de Leur, J. W., & Aratyn, H. (2005). The symplectic Kadomtsev-Petviashvili hierarchy and rational solutions of Painleve VI. Annales de l'Institut Fourier, 55(6), 1871-1903.
Popularising publications
van de Leur, J. W. (2005). Havengolven. Nieuwe Wiskrant, 24(4), 15-19.
2004
Scholarly publications
van de Leur, J. W. (2004). Backlund-Darboux Transformations for the Coupled KP Hierarchy. Journal of Physics A-Mathematical and General, 37(15), 4395-4405.
Helminck, G. F., & van de Leur, J. W. (2004). Elementary Darboux transformations of the n-component KP-hierarchy. International Journal of Differnetial Equations and applications, 7(4), 375-413.
2003
Scholarly publications
Kac, V. G., & van de Leur, J. W. (2003). The $n$-component KP hierarchy and representation theory. Journal of Mathematical Physics, 44(8), 3245-3293.
Aratyn, H., & van de Leur, J. W. (2003). Solutions of the WDVV Equations and IntegrableHierarchies of KP type. Communications in Mathematical Physics, 239, 155-182.
Aratyn, H., & van de Leur, J. W. (2003). Integrable Structure behind WDVV Equations. Theoretical and Mathematical Physics, 134(1), 14-26.
2002
Scholarly publications
Aratyn, H., Gomez, J. F., van de Leur, J. W., & Zimerman, A. H. (2002). WDVV Equations, Darboux-Egoroff Metric and the Dressing Method. In WDVV Equations, Darboux-Egoroff Metric and the Dressing Method
2001
Scholarly publications
van de Leur, J. W. (2001). Twisted ${\rm GL}\sb n$ loop group orbit and solutions of the WDVV equations. International mathematical resource notices, 11, 551-573.
Helminck, G. F., & van de Leur, J. W. (2001). Darboux transformations for the KP hierarchy in the Segal-Wilson setting. Canadian Journal of Mathematics, 53, 278-309.
Helminck, G. F., & van de Leur, J. W. (2001). Geometric Bäcklund--Darboux transformations for the KP hierarchy. Publications of the Research Institute for Mathematical Sciences, Kyoto University, 4, 479-519.
van de Leur, J. W. (2001). Matrix integrals and the geometry of spinors. Journal of Nonlinear Math. Physics, 8(2), 288-310.
2000
Scholarly publications
Helminck, G. F., & van de Leur, J. W. (2000). A Geometric Construction of the Dual Wave Function of the n-component KP-Hierarchy. In H-D. Doebner, V. K. Dobrev, & J. Hilgert (Eds.), Lie Theory and its Applications in Physics III (pp. 187-203). World Scienctific.