Abstract
Korteweg–de Vries (KdV)-type equations can describe the nonlinear phenomena in shallow water waves, stratified internal waves, and ion-acoustic waves in plasmas. In this article, the two-dimensional generalization of the Sawada–Kotera equation, one of the KdV-type equations, is discussed by virtue of the Bell polynomials and Hirota method. The results show that there exist multi-soliton solutions for such an equation. Relations between the direction of the soliton propagation and coordinate axes are shown. Elastic interaction with the multi-soliton solutions are analysed.
Acknowledgements
This work has been supported by the National Natural Science Foundation of China under Grant No. 11471050 and by the Foundation of Hebei Education Department of China under Grant Nos. QN2015051, QN2014041, and Z2015143.
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