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Bäcklund Transformation and New Exact Solutions of the Sharma‐Tasso‐Olver Equation

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  • Lin Jianming
  • Ding Jie
  • Yuan Wenjun

Abstract

The Sharma‐Tasso‐Olver (STO) equation is investigated. The Painlevé analysis is efficiently used for analytic study of this equation. The Bäcklund transformations and some new exact solutions are formally derived.

Suggested Citation

  • Lin Jianming & Ding Jie & Yuan Wenjun, 2011. "Bäcklund Transformation and New Exact Solutions of the Sharma‐Tasso‐Olver Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    • Handle: RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:935710
    DOI: 10.1155/2011/935710
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    References listed on IDEAS

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    1. Inan, Ibrahim E. & Kaya, Dogan, 2007. "Exact solutions of some nonlinear partial differential equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 381(C), pages 104-115.
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    Cited by:

    1. Saima Arshed & Ghazala Akram & Maasoomah Sadaf & Qurrat-ul-ain & Muhammad Bilal Riaz & Adam Wojciechowski, 2023. "Solitary wave behavior of (2+1)-dimensional Chaffee-Infante equation," PLOS ONE, Public Library of Science, vol. 18(1), pages 1-26, January.

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    1. Yinghui He & Shaolin Li & Yao Long, 2013. "Exact Solutions to the Sharma‐Tasso‐Olver Equation by Using Improved G′/G‐Expansion Method," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).

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