RNDr. Hynek Baran, Ph.D.
List of publications
- H. Baran, I.S. Krasil'shchik, O.I. Morozov and P. Vojčák: Coverings over Lax integrable equations and their nonlocal symmetries, Theor Math Phys, vol. 188, no. 3, pp. 1273–1295, Oct. 2016.
- H. Baran, I.S. Krasil'shchik, O.I. Morozov and P. Vojčák: Five-dimensional lax-integrable equation, its reductions and recursion operator, Lobachevskii Journal of Mathematics, July 2015, Volume 36, Issue 3, pp 225–233, DOI: 10.1134/S1995080215030026
- H. Baran, I.S. Krasil'shchik, O.I. Morozov and P. Vojčák: Integrability properties of some equations obtained by symmetry reductions, Journal of Nonlinear Mathematical Physics, Volume 22, Issue 2, 3 April 2015, Pages 210–232, DOI: 10.1080/14029251.2015.1023582.
- H. Baran, I.S. Krasil'shchik, O.I. Morozov and P. Vojčák: Symmetry reductions and exact solutions of Lax integrable 3-dimensional systems, Journal of Nonlinear Mathematical Physics, 21:4 (2014), 643–671, DOI: 10.1080/14029251.2014.975532.
- H. Baran, I.S. Krasil'shchik, O.I. Morozov, P. Vojčák: Higher symmetries of cotangent coverings for Lax-integrable multi-dimensional partial differential equations and Lagrangian deformations, Journal of Physics: Conference Series, 482 (2014) 012002, DOI 10.1088/1742-6596/482/1/012002.
- H. Baran, M. Marvan: Classification of integrable Weingarten surfaces possessing an sl(2)-valued zero curvature representation, Nonlinearity, 23 (2010) 2577–2597.
- H. Baran, M. Marvan: On integrability of Weingarten surfaces: a forgotten class J. Phys. A: Math. Theor. 42 (2009) 404007.
- H. Baran, M. Marvan: A conjecture concerning nonlocal terms of recursion operators.
Journal of Mathematical Sciences, Vol. 151, No. 4, 2008, 3083–3090 (English translation),
Fundam. Prikl. Mat. 12 (2006) (7) 23–33 (in Russian).
- H. Baran: Can we always distinguish between positive and negative hierarchies?, J. Phys. A: Math. Gen. 38 (2005) L301–L306.