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Volumn 31, Issue 37, 1998, Pages 7483-7499

Lie symmetry classification analysis for nonlinear coupled diffusion

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EID: 0002152204     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/31/37/009     Document Type: Article
Times cited : (18)

References (21)
  • 2
    • 0023823587 scopus 로고
    • Constant rate rainfall infiltration: A versatile nonlinear model. I. Analytic solution
    • Broadbridge P and White I 1987 Constant rate rainfall infiltration: a versatile nonlinear model. I. Analytic solution Water Resources Res. 24 145-54
    • (1987) Water Resources Res. , vol.24 , pp. 145-154
    • Broadbridge, P.1    White, I.2
  • 3
    • 84861674277 scopus 로고
    • Simultaneous transfer of heat and moisture in porous media
    • De Vries D A 1958 Simultaneous transfer of heat and moisture in porous media Trans. Am. Geophys. Union 39 909-16
    • (1958) Trans. Am. Geophys. Union , vol.39 , pp. 909-916
    • De Vries, D.A.1
  • 4
    • 21844515990 scopus 로고
    • Exact transient solutions to nonlinear diffusion-convection equations in higher dimensions
    • Edwards M P and Broadbridge P 1994 Exact transient solutions to nonlinear diffusion-convection equations in higher dimensions J. Phys. A: Math. Gen. 27 5455-65
    • (1994) J. Phys. A: Math. Gen. , vol.27 , pp. 5455-5465
    • Edwards, M.P.1    Broadbridge, P.2
  • 6
    • 0015648630 scopus 로고
    • Diurnal soil watertime-depth patterns
    • Jackson R D 1973 Diurnal soil watertime-depth patterns Soil Sci. Soc. Am Proc. 37 505-9
    • (1973) Soil Sci. Soc. Am Proc. , vol.37 , pp. 505-509
    • Jackson, R.D.1
  • 7
    • 0019734474 scopus 로고
    • Flow of water and energy under desert conditions
    • ed D D Evans and J L Thames (Stroudsburg, PA: Dowden, Hutchinson and Ross)
    • Jury W A, Letey J and Stolzy L H 1981 Flow of water and energy under desert conditions Water in Desert Ecosystems ed D D Evans and J L Thames (Stroudsburg, PA: Dowden, Hutchinson and Ross) pp 92-113
    • (1981) Water in Desert Ecosystems , pp. 92-113
    • Jury, W.A.1    Letey, J.2    Stolzy, L.H.3
  • 8
    • 84934736228 scopus 로고
    • Exact solutions in nonlinear diffusion
    • Knight J H and Philip J R 1974 Exact solutions in nonlinear diffusion J. Eng. Math. 8 219-27
    • (1974) J. Eng. Math. , vol.8 , pp. 219-227
    • Knight, J.H.1    Philip, J.R.2
  • 9
    • 0002272122 scopus 로고
    • Analysis of propagating pattern in a chemotaxis system
    • Myerscough M R and Murray J D 1992 Analysis of propagating pattern in a chemotaxis system Bull. Math. Biol. 54 (1) 77-94
    • (1992) Bull. Math. Biol. , vol.54 , Issue.1 , pp. 77-94
    • Myerscough, M.R.1    Murray, J.D.2
  • 11
    • 0001332556 scopus 로고
    • Group properties of nonlinear heat equation
    • Ovsyannikov L V 1959 Group properties of nonlinear heat equation Docl. Acad. Nauk. SSSR 123 (3) 492-5
    • (1959) Docl. Acad. Nauk. SSSR , vol.123 , Issue.3 , pp. 492-495
    • Ovsyannikov, L.V.1
  • 12
    • 0003046808 scopus 로고
    • Quasianalytic and analytic approaches to unsaturated flow
    • ed W L Steffen and O T Denmead (Berlin: Springer)
    • Philip J R 1988 Quasianalytic and analytic approaches to unsaturated flow Flow and Transport in the Natural Environment; Advances and Applications ed W L Steffen and O T Denmead (Berlin: Springer) pp 30-48
    • (1988) Flow and Transport in the Natural Environment; Advances and Applications , pp. 30-48
    • Philip, J.R.1
  • 13
    • 84981755275 scopus 로고
    • Moisture movement porous materials under a temperature gradient
    • Philip J R and De Vries D A 1957 Moisture movement porous materials under a temperature gradient Trans. Am. Geophys. Union 38 222-32
    • (1957) Trans. Am. Geophys. Union , vol.38 , pp. 222-232
    • Philip, J.R.1    De Vries, D.A.2
  • 14
    • 84970557686 scopus 로고
    • Water transport in soil with a daily temperature wave, 1
    • Rose C W 1968 Water transport in soil with a daily temperature wave, 1 Aust. J. Soil Res. 6 31-44
    • (1968) Aust. J. Soil Res. , vol.6 , pp. 31-44
    • Rose, C.W.1
  • 15
    • 0029414280 scopus 로고
    • An analytical approach to coupled heat and moisture transport in soil
    • Shepherd R and Wiltshire R J 1995 An analytical approach to coupled heat and moisture transport in soil Transport Porous Media 20 281-304
    • (1995) Transport Porous Media , vol.20 , pp. 281-304
    • Shepherd, R.1    Wiltshire, R.J.2
  • 16
    • 0030169227 scopus 로고    scopus 로고
    • Spectral decompositions in nonlinear coupled diffusion
    • Shepherd R and Wiltshire R J 1996 Spectral decompositions in nonlinear coupled diffusion IMA J. Appl. Math. 56 277-87
    • (1996) IMA J. Appl. Math. , vol.56 , pp. 277-287
    • Shepherd, R.1    Wiltshire, R.J.2
  • 17
    • 0028003498 scopus 로고
    • Chemotaxis and chemokinesis in eukaryotic cells: The Keller-Segel equations as an approximation to a detailed model
    • Sherratt J A 1994 Chemotaxis and chemokinesis in eukaryotic cells: the Keller-Segel equations as an approximation to a detailed model Bull. Math. Biol. 56 (1) 129-46
    • (1994) Bull. Math. Biol. , vol.56 , Issue.1 , pp. 129-146
    • Sherratt, J.A.1
  • 18
    • 0002366292 scopus 로고    scopus 로고
    • Potential symmetries of nonlinear diffusion-convection equations
    • Sophocleous C 1996 Potential symmetries of nonlinear diffusion-convection equations J. Phys. A: Math. Gen. 29 6951-9
    • (1996) J. Phys. A: Math. Gen. , vol.29 , pp. 6951-6959
    • Sophocleous, C.1
  • 19
    • 0003282404 scopus 로고
    • Lie group invariance of the Richards equation
    • ed J Cushman (New York: Academic)
    • Sposito G 1990 Lie group invariance of the Richards equation Fluids in Hierarchical Porous Medium ed J Cushman (New York: Academic) pp 327-47
    • (1990) Fluids in Hierarchical Porous Medium , pp. 327-347
    • Sposito, G.1
  • 21
    • 21844517847 scopus 로고
    • The use of Lie transformation groups in the solution of the coupled diffusion equation
    • Wiltshire R J 1994 The use of Lie transformation groups in the solution of the coupled diffusion equation J. Phys. A: Math. Gen. 27 7821-9
    • (1994) J. Phys. A: Math. Gen. , vol.27 , pp. 7821-7829
    • Wiltshire, R.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.