Main publications

1.             M. Blaszak, K. Marciniak, "R-matrix approach to lattice integrable systems" -  J. Math. Phys. 35 (9)  1994, p. 4661

2.             S. Rauch-Wojciechowski, K. Marciniak, M. Blaszak, "Two Newton decompositions of stationary flows of KdV and Harry Dym hierarchies" - Physica A 233 (1996) pp. 307-330

3.             K. Marciniak, "cKdV hierarchy with sources and its Newton decomposition"   - J. Math. Phys. 38 (11) 1997, p. 5739

4.             K. Marciniak, S. Rauch-Wojciechowski, "Two families of Poisson structures for Newton equations"   - J. Math. Phys.  39 (10)  1998, p.  5292

5.             S. Rauch-Wojciechowski, K. Marciniak, H. Lundmark, "Quasi-Lagrangian systems of Newton equations - J. Math. Phys. 40 (12) 1999, pp. 6366-6398

6.             K. Marciniak, S. Rauch-Wojciechowski, "Integrable perturbations of the harmonic oscillator and Poisson pencils" - Inv. Probl. 17 (2001), pp. 191-209cc

7.             K. Marciniak, S. Rauch-Wojciechowski, "On integrable perturbations of harmonic oscilllator" - Reports on Mathematical Physics 48 (2001), pp. 139 -147

8.             K. Marciniak, M. Blaszak, "Separation of variables in quasi-potential systems of a bi-cofactor form" - J. Phys. A: Math. Gen. 35 (2002) pp. 2947-2964

9.             M. Blaszak, K. Marciniak, "Separability preserving Dirac reductions of Poisson pencils on Riemannian manifolds" - J. Phys. A: Math. Gen. 36 No 5 (Februari 2003) pp. 1337-1356

10. K. Marciniak, M. Blaszak, "Dirac reduction revisited" - J. Nlin. Math. Phys. vol. 10 No 4 (2003) pp. 451-463. A revised version is available at Nonlinear Sciences archive at arXiv.org.

11. M. Blaszak, K. Marciniak, "Dirac reduction of dual Poisson-presymplectic pairs" - J. Phys. A: Math. Gen. vol. 37 (2004) pp. 5173-5187

12. K. Marciniak, M. Blaszak, "Geometric reduction of Hamiltonian systems" - Reports on Mathematical Physics vol. 55 (2005) pp. 325-339

13. S. Rauch-Wojciechowski, K. Marciniak, "Separation of variables for differential equations" – an article in Encyclopedia of Mathematical Physics, Elsevier 2006

14. M. Blaszak, K. Marciniak, "From Stäckel systems to integrable hierarchies of PDE’s: Benenti class of separation relations" J. Math. Phys. 47, 032904 (2006)

15. K. Marciniak, S. Rauch-Wojciechowski,  "Separable systems of coordinates for triangular Newton equations " Studies in Applied Mathematics  (2007) vol. 118 (1) pp. 45-84

16. K. Marciniak, “Geodesically equivalent flat bi-cofactor systems”, to appear in Proceedings of the SPT2007 (Symmetry and Perturbation Theory) Conference in Otranto, Italy, June 2-9 2007

17. K. Marciniak, M. Blaszak, “Non-hamiltonian systems separable by Hamilton-Jacobi method”, Journal of Geometry and Physics 58 (2008) 557-575

18. M. Blaszak, K. Marciniak, “Stäckel systems generating coupled KdV hierarchies and their finite-gap and rational solutions”, J. Phys. A: Math. Theor. 41 (2008) 485202

19. K. Marciniak, M. Blaszak, “Construction of coupled Harry Dym hierarchy and its solutions from Stäckel systems”, Nonlinear Analysis: Theory, Methods and Applications at http://dx.doi.org/10.1016/j.na.2010.06.067

20. Błaszak, M. and Marciniak, K. (2012), On Reciprocal Equivalence of Stäckel Systems. Studies in Applied Mathematics. doi: 10.1111/j.1467-9590.2011.00544.x

21. Błaszak, M. and Marciniak, K. (2013), Invertible coupled KdV and coupled Harry Dym hierarchies; Studies in Applied Mathematics. doi: 10.1111/sapm.12008

22. K. Marciniak and M. Blaszak (2015), Flat coordinates of flat Stäckel systems,Applied Mathematics and Computation (2015), pp. 706-716, doi: 10.1016/j.amc.2015.06.099

23. Błaszak M., Marciniak K. and Domanski Z., Separable quantizations of Stäckel systems, Annals of Physics 371 (2016) pp. 460-471, doi:10.1016/j.aop.2016.06.007