https://doi.org/10.1140/epjp/s13360-024-05533-0
Regular Article
X-type solution and resonance Y-type soliton solutions of (2 + 1)-dimensional Konopelchenko–Dubrovsky equation
College of Science, Kaili University, 556011, Kaili, Guizhou, China
Received:
20
December
2023
Accepted:
4
August
2024
Published online:
17
August
2024
In this paper, our research objective is mainly to obtain X-type soliton solutions and resonance Y-type soliton solutions for the (2 + 1)-dimensional Konopelchenko–Dubrovsky (KD) equation. Based on the Hirota bilinear method, the multiple soliton solutions of the (2 + 1)-dimensional KD equation are constructed. By setting new constrained condition to the multiple soliton solution, the X-type soliton solutions, 2-resonance Y-type soliton solutions and the two 2-resonance Y-type solitons are obtained. Furthermore, several hybrid solutions consisting of the 2-resonance Y-type solitons and two line solitons are derived. In addition, by selecting two new test functions, two novel Y-type solitons of the (2 + 1)-dimensional KD equation were obtained. Finally, the dynamic behavior of these interaction solutions was studied in a graphical manner. It is hoped that the results of this paper can provide some assistance for the study of soliton theory.
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