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Solitary Wave and Periodic Wave Solutions for a Non-Newtonian Filtration Equation

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Abstract

This paper is concerned with a non-Newtonian filtration equation with nonlinear sources. By using an extension of Mawhin’s continuation theorem and some analysis methods, we obtain some existence results of solitary wave and periodic wave solutions for the non-Newtonian filtration equation with nonlinear sources.

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Authors and Affiliations

  1. Department of Mathematics, Hohai University, Nanjing, 210098, People’s Republic of China

    Zaitao Liang & Jifeng Chu

  2. College of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, 210044, People’s Republic of China

    Shiping Lu

Authors
  1. Zaitao Liang
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  2. Jifeng Chu
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  3. Shiping Lu
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Correspondence to Zaitao Liang.

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Liang, Z., Chu, J. & Lu, S. Solitary Wave and Periodic Wave Solutions for a Non-Newtonian Filtration Equation. Math Phys Anal Geom 17, 213–222 (2014). https://doi.org/10.1007/s11040-014-9150-9

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  • DOI: https://doi.org/10.1007/s11040-014-9150-9

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