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The similar solutions of nonlinear heat conduction equation

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Abstract

In reference [1], the wave solutions of nonlinear heat conduction equation are studied. In it, the similar variable ξ is wave variable and it is assumed that the heat conduction coefficient is only the function of the similar variable ξ.

In this paper, the author forsakes the above-mentioned restraints, and studies the similar solutions of the nonlinear conduction equation from the more general angles.

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Reference

  1. V. A. Bubnov, The comments to wave solutions of the nonlinear heat conduction equation,Journal of Engineering Physics,XL, 5 (1981), 907–913 (in Russian).

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Communicated by Chien Weizang

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Yiwu, Y. The similar solutions of nonlinear heat conduction equation. Appl Math Mech 16, 905–912 (1995). https://doi.org/10.1007/BF02458616

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  • DOI: https://doi.org/10.1007/BF02458616

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