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Kinky breather-wave and lump solutions to the (2 + 1)-dimensional Burgers equations

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Abstract

This paper deals with special kinds of exact solutions called kinky breather-wave and lump solutions. In this respect, kinky breather-wave solutions to the (2 + 1)-dimensional Burgers equations are acquired through the use of the extended homoclinic test technique and the Hirota bilinear method. In a special case, bright-dark lump solutions are extracted from kinky breather-wave solutions by adopting some fundamental assumptions. The dynamical behaviors of kinky breather-wave and lump solutions are analyzed by presenting a series of three dimensional and density graphs.

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Authors and Affiliations

  1. Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran

    K. Hosseini

  2. Department of Mechanical Engineering, University of Guilan, Rasht, Iran

    R. Ansari, F. Samadani & M. Aligoli

  3. Department of Mechanical Engineering, Sahand University of Technology, Tabriz, Iran

    R. Pouyanmehr

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  1. K. Hosseini
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  2. R. Ansari
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  3. R. Pouyanmehr
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  4. F. Samadani
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  5. M. Aligoli
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Correspondence to K. Hosseini.

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Hosseini, K., Ansari, R., Pouyanmehr, R. et al. Kinky breather-wave and lump solutions to the (2 + 1)-dimensional Burgers equations. Anal.Math.Phys. 10, 65 (2020). https://doi.org/10.1007/s13324-020-00405-z

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