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Volumn 38, Issue 11, 2002, Pages 29-1-29-9

Burgers' equation: A general nonlinear solution of infiltration and redistribution

Author keywords

Burgers' equation; Infiltration; Nonlinear analytical solutions; Redistribution

Indexed keywords

APPROXIMATION THEORY; MOISTURE; NONLINEAR SYSTEMS; RAIN; WATER;

EID: 0036880205     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2001wr000954     Document Type: Article
Times cited : (23)

References (18)
  • 1
    • 0032951249 scopus 로고    scopus 로고
    • Multidimensional linearized nonsteady infiltration with prescribed boundary conditions at the soil surface
    • Basha, H. A., Multidimensional linearized nonsteady infiltration with prescribed boundary conditions at the soil surface, Water Resour. Res., 35, 75-83, 1999.
    • (1999) Water Resour. Res. , vol.35 , pp. 75-83
    • Basha, H.A.1
  • 2
    • 0033856601 scopus 로고    scopus 로고
    • Multidimensional linearized nonsteady infiltration toward a shallow water table
    • Basha, H. A., Multidimensional linearized nonsteady infiltration toward a shallow water table, Water Resour. Res., 36, 2567-2574, 2000.
    • (2000) Water Resour. Res. , vol.36 , pp. 2567-2574
    • Basha, H.A.1
  • 4
    • 0025383752 scopus 로고
    • Exact solutions for vertical drainage and redistribution in soils
    • Broadbridge, P., and C. Rogers, Exact solutions for vertical drainage and redistribution in soils, J. Eng. Math., 24, 25-43, 1990.
    • (1990) J. Eng. Math. , vol.24 , pp. 25-43
    • Broadbridge, P.1    Rogers, C.2
  • 5
    • 0023531108 scopus 로고
    • Time to ponding: Comparison of analytic, quasi-analytic, and approximate predictions
    • Broadbridge, P., and I. White, Time to ponding: Comparison of analytic, quasi-analytic, and approximate predictions, Water Resour. Res., 23, 2302-2310, 1987.
    • (1987) Water Resour. Res. , vol.23 , pp. 2302-2310
    • Broadbridge, P.1    White, I.2
  • 6
    • 0019697484 scopus 로고
    • Burgers' equation: Application to field constant-flux infiltration
    • Clothier, B. E., J. H. Knight, and I. White, Burgers' equation: application to field constant-flux infiltration, Soil Sci., 132, 255-261, 1981.
    • (1981) Soil Sci. , vol.132 , pp. 255-261
    • Clothier, B.E.1    Knight, J.H.2    White, I.3
  • 7
    • 84964145121 scopus 로고
    • The exact pattern of a concentration-dependent diffusion in a semi-infinite medium, 2
    • Fujita, H., The exact pattern of a concentration-dependent diffusion in a semi-infinite medium, 2, Textile Res. J. 22, 823-827, 1952.
    • (1952) Textile Res. J. , vol.22 , pp. 823-827
    • Fujita, H.1
  • 8
    • 0027455228 scopus 로고
    • Burgers' equation: A solution for soil water flow in a finite length
    • Hills, R. G., and A. W. Warrick, Burgers' equation: A solution for soil water flow in a finite length, Water Resour. Res., 29, 1179-1184, 1993.
    • (1993) Water Resour. Res. , vol.29 , pp. 1179-1184
    • Hills, R.G.1    Warrick, A.W.2
  • 11
    • 0000678665 scopus 로고
    • Recent progress in the solution of nonlinear diffusion equations
    • Philip, J. R., Recent progress in the solution of nonlinear diffusion equations, Soil Sci., 117, 257-284, 1974.
    • (1974) Soil Sci. , vol.117 , pp. 257-284
    • Philip, J.R.1
  • 12
    • 0022808818 scopus 로고
    • Linearized unsteady multidimensional infiltration
    • Philip, J. R., Linearized unsteady multidimensional infiltration, Water Resour. Res., 22, 1717-1727, 1986.
    • (1986) Water Resour. Res. , vol.22 , pp. 1717-1727
    • Philip, J.R.1
  • 13
    • 0023531994 scopus 로고
    • The infiltration joining problem
    • Philip, J. R., The infiltration joining problem, Water Resour. Res., 23, 2239-2245, 1987.
    • (1987) Water Resour. Res. , vol.23 , pp. 2239-2245
    • Philip, J.R.1
  • 14
    • 0028668254 scopus 로고
    • Equivalent steady soil moisture profile and the time compression approximation in water balance modeling
    • Salvucci, G. D., and D. Entekhabi, Equivalent steady soil moisture profile and the time compression approximation in water balance modeling, Water Resour. Res., 30, 2737-2749, 1994.
    • (1994) Water Resour. Res. , vol.30 , pp. 2737-2749
    • Salvucci, G.D.1    Entekhabi, D.2
  • 16
    • 0346856242 scopus 로고
    • Comment on "Constant rate rainfall infiltration: A versatile nonlinear model, 2, applications of solutions" by I. White and P. Broadbridge
    • Smith, R. E., and J.-Y. Parlange, Comment on "Constant rate rainfall infiltration: A versatile nonlinear model, 2, Applications of solutions" by I. White and P. Broadbridge, Water Resour. Res., 25, 1051-1053, 1989.
    • (1989) Water Resour. Res. , vol.25 , pp. 1051-1053
    • Smith, R.E.1    Parlange, J.-Y.2
  • 17
    • 0001910650 scopus 로고
    • Analytical solutions to the one-dimensional linearized moisture flow equation for arbitrary input
    • Warrick, A. W., Analytical solutions to the one-dimensional linearized moisture flow equation for arbitrary input, Soil Sci., 120, 79-84, 1975.
    • (1975) Soil Sci. , vol.120 , pp. 79-84
    • Warrick, A.W.1
  • 18
    • 84977409191 scopus 로고
    • An analytical solution for one-dimensional drainage: Burgers' and simplified forms
    • Warrick, A. W., and G. W. Parkin, An analytical solution for one-dimensional drainage: Burgers' and simplified forms, Water Resour. Res., 31, 2891-2894, 1995.
    • (1995) Water Resour. Res. , vol.31 , pp. 2891-2894
    • Warrick, A.W.1    Parkin, G.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.