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Analysis

Partial Differential Equations

35Xxx

[1] 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.
[2] 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:Paper 051, 26 pp. (electronic), 2006.
[3] Ariane Péladan-Germa. Testing equality in differential ring extensions defined by PDE's and limit conditions. Appl. Algebra Engrg. Comm. Comput., 13(4):257–288, 2002.
[4] Roman O. Popovych, Vyacheslav M. Boyko, Maryna O. Nesterenko, and Maxim W. Lutfullin. Realizations of real low-dimensional Lie algebras. J. Phys. A, 36:7337–7360, 2003.

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