симметрии дифференциальные уравнения законы сохранения пластичность.
Основные темы научной работы
Симметрии дифференциальных уравнений.
Основные публикации:
Kiriakov P. P., Senashov S. I., Yakhno A. N. (2001) La Aplicación de las Simetrías y las Leyes de Conservación a la Resolución de las Ecuaciones Diferenciales. Ed. RAN, ISBN 5-7692-0459-1 (in Russian).
Senashov S. I., Yakhno A. N. (2001) Two-dimensional plasticity: symmetries, conservation laws and exact solutions. Problemas de mecánica de cuerpos deformables y conglomerados. Universidad Estatal de Mines de Moscú, 2001, pp. 283–299, ISBN 5-7418-0019-X (in Russian).
Senashov S., Yakhno A. (2004). 2-dimensional Plasticity: Boudary Problems and Conservation Laws, Reproduction of Solutions. The Proceedings of Institute of Mathematics of National Academy of Science of Ukraine, V. 50, pp. 231–238.
Senashov S. I., Yakhno A. (2005) The Evolution of Solution of Plane Ideal Plasticity, Proc. of XI international conference "Symmetry Methods in Physics" (Prague, Czech Republic), Joint institute for Nuclear Research, Dubna. ISBN 5-9530-0069-3.
Petr Kiriakov, Alexander Yakhno (2006) Symmetries of the plane plasticity system with a general yield criterion, Proceedings of the Conference on Differential & Difference Equations and Applications, Editors: Ravi P. Agarwal, and Kanishka Perera. Hindawi Publishing Corporation, pp. 555–565. ISBN 977-5945-380.
Sergey I. Senashov, Alexander
Yakhno, Lilia Yakhno (2007) Lie - Backlund Symmetries of Homogeneous System of Bi-Dimensional Equations, WSEAS Transactions on Mathematics, V. 1 (6), pp. 16–22. ISSN 1109-2769.
Senashov S. I. Yakhno A. (2007) Reproduction of Solutions for Bidimensional Ideal Plasticity, International Journal of Non-Linear Mechanics, V. 42, N. 3, pp. 500–503. ISSN 0020-7462.
G. S. Pogosyan, A. Yakhno (2007) Contractions of Lie Algebra and Separation of Variables. Three Dimensional Sphere. Physics of Atomic Nuclei (accepted).
Ernie Kalnins, George S. Pogosyan, Alexander Yakhno, “Separation of Variables and Contractions on Two-Dimensional Hyperboloid”, SIGMA, 8 (2012), 105, 11 стр.
Sergey I. Senashov, Alexander Yakhno, “Conservation laws, hodograph transformation and boundary value problems of plane plasticity”, SIGMA, 8 (2012), 071, 16 стр.
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