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Non-auto-Bäcklund transformation and novel abundant explicit exact solutions of the variable coefficients Burger equation

Author

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  • Kumari, Pinki
  • Gupta, R.K.
  • Kumar, Sachin

Abstract

In this letter, we utilize direct method to obtain the non-auto-Bäcklund transformation for finding the explicit solutions of variable coefficients Burger equation. The solution procedure puts forward an easy way to obtain new abundant exact solutions of variable coefficients Burger equation from the various already obtained exact solutions of constant coefficient Burgers equation. The Method is easy to implement, especially for the physicist and non-mathematical readers.

Suggested Citation

  • Kumari, Pinki & Gupta, R.K. & Kumar, Sachin, 2021. "Non-auto-Bäcklund transformation and novel abundant explicit exact solutions of the variable coefficients Burger equation," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    • Handle: RePEc:eee:chsofr:v:145:y:2021:i:c:s0960077921001272
    DOI: 10.1016/j.chaos.2021.110775
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    References listed on IDEAS

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    1. Chun-Ku Kuo & Sen-Yung Lee, 2015. "A New Exact Solution of Burgers’ Equation with Linearized Solution," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-7, August.
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