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Volumn 39, Issue 5, 1998, Pages 977-985

Exact nonnegative solutions to the multidimensional nonlinear diffusion equation

(2)  Rudykh, G A a   Semenov E I a  

a NONE

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EID: 27544474327     PISSN: 00374466     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02672920     Document Type: Article
Times cited : (8)

References (19)
  • 1
    • 27544496520 scopus 로고
    • Application of Liouville's equation to construction of special exact solutions for the quasilinear heat equation
    • G. A. Rudykh and E. I. Semenov, "Application of Liouville's equation to construction of special exact solutions for the quasilinear heat equation," IMACS Ann. Comput. Appl. Math., 8, 193-196 (1990).
    • (1990) IMACS Ann. Comput. Appl. Math. , vol.8 , pp. 193-196
    • Rudykh, G.A.1    Semenov, E.I.2
  • 3
    • 0039749020 scopus 로고
    • Construction of exact solutions to a multidimensional quasilinear heat equation
    • G. A. Rudykh and È. I. Semënov, "Construction of exact solutions to a multidimensional quasilinear heat equation," Zh. Vychisl. Mat. i Mat. Fiz., 33, No. 8, 1228-1239 (1993).
    • (1993) Zh. Vychisl. Mat. i Mat. Fiz. , vol.33 , Issue.8 , pp. 1228-1239
    • Rudykh, G.A.1    Semënov, È.I.2
  • 4
    • 27544508509 scopus 로고    scopus 로고
    • New exact solutions of the one-dimensional nonlinear diffusion equation
    • G. A. Rudykh and È. I. Semënov, "New exact solutions of the one-dimensional nonlinear diffusion equation," Sibirsk. Mat. Zh., 38, No. 5, 1130-1139 (1997).
    • (1997) Sibirsk. Mat. Zh. , vol.38 , Issue.5 , pp. 1130-1139
    • Rudykh, G.A.1    Semënov, È.I.2
  • 8
    • 0039749010 scopus 로고
    • Multidimensional exact solutions of a nonlinear diffusion equation
    • V. V. Pukhnachëv, "Multidimensional exact solutions of a nonlinear diffusion equation," Prikl. Mekh. Tekhn. Fiz., 36, No. 2, 23-31 (1995).
    • (1995) Prikl. Mekh. Tekhn. Fiz. , vol.36 , Issue.2 , pp. 23-31
    • Pukhnachëv, V.V.1
  • 9
    • 84972500466 scopus 로고
    • On new exact blow-up solutions for nonlinear heat conduction equations with source and applications
    • V. A. Galaktionov, "On new exact blow-up solutions for nonlinear heat conduction equations with source and applications," Differential Integral Equations, 3, No. 5, 863-874 (1990).
    • (1990) Differential Integral Equations , vol.3 , Issue.5 , pp. 863-874
    • Galaktionov, V.A.1
  • 10
    • 84971166861 scopus 로고
    • Invariant subspaces and new explicit solutions to evolution equations with quadratic nonlinearities
    • V. A. Galaktionov, "Invariant subspaces and new explicit solutions to evolution equations with quadratic nonlinearities," Proc. Roy. Soc. Edinburgh Sect. A, 125 No. 2, 225-246 (1995).
    • (1995) Proc. Roy. Soc. Edinburgh Sect. A , vol.125 , Issue.2 , pp. 225-246
    • Galaktionov, V.A.1
  • 12
    • 0038203026 scopus 로고
    • Equivalence transformations and hidden symmetry of evolution equations
    • V. V. Pukhnachëv, "Equivalence transformations and hidden symmetry of evolution equations," Dokl. Akad. Nauk SSSR, 294, No. 3, 535-538 (1987).
    • (1987) Dokl. Akad. Nauk SSSR , vol.294 , Issue.3 , pp. 535-538
    • Pukhnachëv, V.V.1
  • 13
    • 27544441262 scopus 로고
    • Reciprocal transformations of radial equations of nonlinear heat conduction
    • POMI
    • V. V. Pukhnachëv, "Reciprocal transformations of radial equations of nonlinear heat conduction," Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI), 213, 151-163 (1994).
    • (1994) Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. , vol.213 , pp. 151-163
    • Pukhnachëv, V.V.1
  • 14
    • 0027646569 scopus 로고
    • Exact multidimensional solutions to some nonlinear diffusion equations
    • J. R. King, "Exact multidimensional solutions to some nonlinear diffusion equations," Quart. J. Mech. Appl. Math., 46, No. 3, 419-436 (1993).
    • (1993) Quart. J. Mech. Appl. Math. , vol.46 , Issue.3 , pp. 419-436
    • King, J.R.1
  • 15
    • 0000121198 scopus 로고
    • On new exact solutions to parabolic equations with quadratic nonlinearities
    • V. A. Galaktionov and S. A. Posashkov, "On new exact solutions to parabolic equations with quadratic nonlinearities," Zh. Vychisl. Mat. i Mat. Fiz., 29, No. 4, 497-506 (1989).
    • (1989) Zh. Vychisl. Mat. i Mat. Fiz. , vol.29 , Issue.4 , pp. 497-506
    • Galaktionov, V.A.1    Posashkov, S.A.2
  • 16
    • 0011298627 scopus 로고
    • Exact solutions and invariant spaces for nonlinear equations of gradient diffusion
    • V. A. Galaktionov and S. A. Posashkov, "Exact solutions and invariant spaces for nonlinear equations of gradient diffusion," Zh. Vychisl. Mat. i Mat. Fiz., 34, No. 3, 373-383 (1994).
    • (1994) Zh. Vychisl. Mat. i Mat. Fiz. , vol.34 , Issue.3 , pp. 373-383
    • Galaktionov, V.A.1    Posashkov, S.A.2
  • 17
    • 0000654014 scopus 로고
    • Generalized separation of variables for differential equations with polynomial nonlinearities
    • V. A. Galaktionov, S. A. Posashkov, and S. R. Svirshchevskiǐ, "Generalized separation of variables for differential equations with polynomial nonlinearities," Differentsial'nye Uravneniya, 31, No. 2, 253-261 (1995).
    • (1995) Differentsial'nye Uravneniya , vol.31 , Issue.2 , pp. 253-261
    • Galaktionov, V.A.1    Posashkov, S.A.2    Svirshchevskiǐ, S.R.3
  • 19
    • 0039156642 scopus 로고
    • On anisotropic exact solutions of a multidimensional equation of nonstationary filtration
    • E. R. Kosygina, "On anisotropic exact solutions of a multidimensional equation of nonstationary filtration," Zh. Vychisl. Mat. i Mat. Fiz., 35, No. 2, 241-259 (1995).
    • (1995) Zh. Vychisl. Mat. i Mat. Fiz. , vol.35 , Issue.2 , pp. 241-259
    • Kosygina, E.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.