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Q-conditional symmetry of a nonlinear two-dimensional heat-conduction equation

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Abstract

We investigate theQ-conditional symmetry of a nonlinear two-dimensional heat-conduction equation. By using ansatzes, we obtain reduced equations.

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References

  1. V. I. Fushchich, V. M. Shtelen', and N. I. Serov,Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics [in Russian], Naukova Dumka, Kiev (1989).

    MATH  Google Scholar 

  2. V. I. Fushchich, “How to extend the symmetry of differential equations?” in:Symmetry and Solutions of Nonlinear Equations of Mathematical Physics [in Russian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1987), pp. 4–16.

    Google Scholar 

  3. V. I. Fushchich, “Conditional symmetry of equations of nonlinear mathematical physics,”Ukr. Mat. Zh.,43, No. 11, 1456–1470 (1991).

    Google Scholar 

  4. N. I. Serov, “Conditional invariance and exact solutions of a nonlinear heat-conduction equation,”Ukr. Mat. Zh.,42, No. 10, 1370–1376 (1990).

    Article  MathSciNet  Google Scholar 

  5. V. I. Fushchich and N. I. Serov, “Conditional invariance and reduction of a nonlinear heat-conduction equation,”Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 7, 24–27 (1990).

    MathSciNet  Google Scholar 

  6. V. I. Fushchich, N. I. Serov, and L. A. Tulupova, “The conditional invariance and exact solutions of the nonlinear diffusion equation,”Dopov. Ukr. Akad. Nauk, No. 4, 37–40 (1993).

    MathSciNet  Google Scholar 

  7. V. I. Fushchich, N. I. Serov, and T. A. Amerov, “Conditional invariance of a nonlinear heat-conduction equation,”Dokl. Akad. Nauk Ukr. SSR, No. 11, 15–18 (1990).

    Google Scholar 

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Additional information

Poltava University, Poltava. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 52, No. 6, pp.846–849, June, 2000.

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Serov, M.I., Tulupova, L.O. & Andreeva, N.V. Q-conditional symmetry of a nonlinear two-dimensional heat-conduction equation. Ukr Math J 52, 969–973 (2000). https://doi.org/10.1007/BF02591792

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  • DOI: https://doi.org/10.1007/BF02591792

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