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A class of new special solution of nonlinear diffusion equation

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Abstract

One of the most interesting problems of nonlinear differential equations is the construction of partial solutions. A new method is presented in this paper to seek special solutions of nonlinear diffusion equations. This method is based on seeking suitable function to satisfy Bernolli equation. Many new special solutions are obtained.

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Authors and Affiliations

  1. College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, 400067, China

    Yan Tang

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  1. Yan Tang
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Correspondence to Yan Tang.

Additional information

Supported by the Natural Science Foundation Project of Chongqing (CSTC, 2014jcyjA00026) and Science and Technology Research Project of Chongqing Municipal Education Commission (KJ1400614).

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Tang, Y. A class of new special solution of nonlinear diffusion equation. Acta Math. Appl. Sin. Engl. Ser. 32, 437–446 (2016). https://doi.org/10.1007/s10255-016-0569-6

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  • DOI: https://doi.org/10.1007/s10255-016-0569-6

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