Diversity of Interaction Solutions to the (2 + 1)-Dimensional Sawada-Kotera Equation - Journal of Applied Mathematics and Physics

JAMP > Vol.6 No.8, August 2018

Journal of Applied Mathematics and Physics

Volume 6, Issue 8 (August 2018)

ISSN Print: 2327-4352 ISSN Online: 2327-4379

Google-based Impact Factor: 1.00 Citations

Diversity of Interaction Solutions to the (2 + 1)-Dimensional Sawada-Kotera Equation ()

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Download as PDF (Size: 4845KB) PP. 1692-1703

DOI: 10.4236/jamp.2018.68145 1,028 Downloads 2,412 Views Citations

Author(s)

Rui Hu

Affiliation(s)

College of Science, University of Shanghai for Science and Technology, Shanghai, China.

ABSTRACT

In this paper, based on Hirota bilinear form, we aim to show the diversity of interaction solutions to the (2 + 1)-dimensional Sawada-Kotera (SK) equation. By introducing an arbitrary differentiable function in assumption form, we can obtain abundant interaction solutions which can provide the possibility for exploring the interactions between lump waves and other kinds of waves. By choosing some particular functions and values of the involved parameters, we give four illustrative examples of the resulting solutions, and explore some novel interaction behaviors in (2 + 1)-dimensional SK equation.

KEYWORDS

Hirota Bilinear Form, Lump Solution, Interaction Solution, (2 + 1)-Dimensional Sawada-Kotera Equation

Share and Cite:

Hu, R. (2018) Diversity of Interaction Solutions to the (2 + 1)-Dimensional Sawada-Kotera Equation. Journal of Applied Mathematics and Physics, 6, 1692-1703. doi: 10.4236/jamp.2018.68145.

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