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Reduction of nonlinear partial differential equation and exact solutions

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Abstract

Nonlinear partial differential equation (NLPDE) is converted into ordinary differential equation (ODE) via a new ansatz. Using undetermined function method, the ODE obtained above is replaced by a set of algebraic equations which are solved out with the aid of Mathematica. The exact solutions and solitary solutions of NLPDE are obtained.

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Authors and Affiliations

  1. Dept. of Math., Zhejiang Univ., 310027, Hangzhou, China

    Ye Caier & Pan Zuliang

Authors
  1. Ye Caier
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  2. Pan Zuliang
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Supported by the Natural Science Foundation of Zhejiang Province (102037).

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Ye, C., Pan, Z. Reduction of nonlinear partial differential equation and exact solutions. Appl. Math. Chin. Univ. 18, 179–185 (2003). https://doi.org/10.1007/s11766-003-0022-5

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  • DOI: https://doi.org/10.1007/s11766-003-0022-5

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