Water Redistribution in Irrigated Soil Profiles: Invariant Solutions of the Governing Equation

Nonlinear Dynamics

Volumn 13, Issue 4, 1997, Pages 395-409

  Baikov, V A ^a   Gazizov, R K ^a,b   Ibragimov, N H ^b   Kovalev, V F ^c  

^a Science and Education Center of Bashkir People History Ufa University of Science and Technology   (Russian Federation)

^b UNIVERSITY OF THE WITWATERSRAND   (South Africa)

^c INSTITUTE OF MATHEMATICAL MODELING   (Russian Federation)

Author keywords

Group theoretic modelling; Invariant solutions; Lie group classification and symmetry analysis; Soil water motion

Indexed keywords

INFILTRATION; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS;

SOIL WATER MOTION; WATER REDISTRIBUTION;

SOIL MECHANICS;

EID: 0031197652     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008209125329     Document Type: Article

References (11)

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2. Lie, S., On integration of a class of linear partial differential equations by means of definite integrals', Archiv der Mathematik VI(3), 1881, 328-368 [in German]. Reprinted in S. Lie, Gesammelte Abhandlundgen, Vol. 3, paper XXXV. (English translation published in CRC Handbook of Lie Group Analysis of Differential Equations, Vol. 2, N. H. Ibragimov (ed.), CRC Press, Boca Raton, FL, 1995.)
3. Lie, S., On integration of a class of linear partial differential equations by means of definite integrals', Archiv der Mathematik VI(3), 1881, 328-368 [in German]. Reprinted in S. Lie, Gesammelte Abhandlundgen, Vol. 3, paper XXXV. (English translation published in CRC Handbook of Lie Group Analysis of Differential Equations, Vol. 2, N. H. Ibragimov (ed.), CRC Press, Boca Raton, FL, 1995.)
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6. Ibragimov, N. H. (ed.), CRC Handbook of Lie Group Analysis of Differential Equations, Vol. 1, 1994; Vol. 2, 1995; Vol. 3, 1996, CRC Press, Boca Raton, FL.
7. Ibragimov, N. H. (ed.), CRC Handbook of Lie Group Analysis of Differential Equations, Vol. 1, 1994; Vol. 2, 1995; Vol. 3, 1996, CRC Press, Boca Raton, FL.
8. Ibragimov, N. H. (ed.), CRC Handbook of Lie Group Analysis of Differential Equations, Vol. 1, 1994; Vol. 2, 1995; Vol. 3, 1996, CRC Press, Boca Raton, FL.
9. Vellidis, G., Smajstrla, A. G., and Zazueta, F. S., 'Soil water redistribution and extraction patterns of dripirrigated tomatoes above a shallow water table', Transactions of the American Society of Agricultural Engineers 33(5), 1990, 1525-1530.
10. Vellidis, G. and Smajstrla, A. G., 'Modeling soil water redistribution and extraction patterns of drip-irrigated tomatoes above a shallow water table', Transactions of the American Society of Agricultural Engineers 35(1), 1992, 183-191.
11. Baikov, V. A., Gazizov, R. K., Ibragimov, N. H., and Kovalev, V. F., 'Group analysis of soil water equations', in CRC Handbook of Lie Group Analysis of Differential Equations, Vol. 2, N. H. Ibragimov (ed.), CRC Press, Boca Raton, FL, 1995, pp. 228-237.