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On exact solutions to partial differential equations by the modified homotopy perturbation method

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Abstract

Based on the modified homotopy perturbation method (MHPM), exact solutions of certain partial differential equations are constructed by separation of variables and choosing the finite terms of a series in p as exact solutions. Under suitable initial conditions, the PDE is transformed into an ODE. Some illustrative examples reveal the efficiency of the proposed method.

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Authors and Affiliations

  1. School of Information, Hunan University of Commerce, Changsha, 410205, China

    Gang Yang & Luo-gen Yao

  2. School of Science, Guangdong Ocean University, Zhanjiang, 524088, China

    Ru-yun Chen

Authors
  1. Gang Yang
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  2. Ru-yun Chen
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  3. Luo-gen Yao
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Correspondence to Gang Yang.

Additional information

Supported by the National Social Science Fund of China (Grant No. 11BTJ011), the Natural Science Foundation Fund of Hunan Province of China (No. 08JJ3004) and the Soft Science Foundation of Hunan Province of China (No. 2009ZK4021).

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Yang, G., Chen, Ry. & Yao, Lg. On exact solutions to partial differential equations by the modified homotopy perturbation method. Acta Math. Appl. Sin. Engl. Ser. 28, 91–98 (2012). https://doi.org/10.1007/s10255-012-0119-9

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  • DOI: https://doi.org/10.1007/s10255-012-0119-9

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