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Article information
2000 , Volume 5, ¹ 4, p.111-123
Shmidt A.V.
Differential constraints of one class of nonlinear diffusion equations with a convection term
Differential constraints for a class of nonlinear diffusion equations with a convection term are constructed with the help of linear determining equations which are the generalization of the classical determining equations. It is proved that for the class under study the solution set of linear determining equations is wider than for the classical equations. With the help of the obtained differential constraints expanding the solution set of classical determining equations, some solutions of the appropriate diffusion equations are constructed.
[full text] Classificator Msc2000:- *35A30 Geometric theory, characteristics, transformations
- 35C05 Solutions in closed form
- 35K57 Reaction-diffusion equations
- 35K65 Parabolic partial differential equations of degenerate type
- 58J70 Invariance and symmetry properties
Keywords: degenerate parabolic equation with convection, exact solution, symmetry groups, linear determining equation
Author(s):
Shmidt A.V.
Address: 660036, Russia, Krasnoyarsk
Bibliography link:
Shmidt A.V. Differential constraints of one class of nonlinear diffusion equations with a convection term // Computational technologies. 2000. V. 5. ¹ 4. P. 111-123
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