Partial Differential Equations
- Victor A. Galaktionov and Sergey R. Svirshchevskii, Exact solutions and invariant subspaces of nonlinear partial differential equations in mechanics and physics, Chapman &Hall/CRC Applied Mathematics and Nonlinear Science Series, Chapman &Hall/CRC, Boca Raton, FL, 2007, pp. xxx+498.[MR]
- Vladimir P. Gerdt, Yuri A. Blinkov, and Vladimir V. Mozzhilkin, Gröbner bases and generation of difference schemes for partial differential equations, SIGMA Symmetry Integrability Geom. Methods Appl. 2 (2006), Paper 051, 26 pp. (electronic).[MR]
- V. A. Krasikov and T. M. Sadykov, Linear differential operators for generic algebraic curves, preprint (2010).[arXiv]
- Ariane Péladan-Germa, Testing equality in differential ring extensions defined by PDE's and limit conditions, Appl. Algebra Engrg. Comm. Comput. 13 (2002), no. 4, 257–288.[MR]
- Roman O. Popovych, Vyacheslav M. Boyko, Maryna O. Nesterenko, and Maxim W. Lutfullin, Realizations of real low-dimensional Lie algebras, J. Phys. A 36 (2003), 7337-7360.[arXiv]