The Hybrid and Interaction Solutions with Resonance Y-Type Solitons for the (2 + 1)-Dimensional KdV Equation
Year: 2025
Type: article
Abstract: The hybrid solutions and interaction solutions with resonance Y-type solitons are mainly investigated for the (2 + 1)-dimensional Korteweg-de Vries (KdV) equation, concerning lumps, resonance Y-type solitons and interaction solutions. Firstly, by the Hirota bilinear form, we deduce the periodic solitary wave solutions through modified three-wave method. Consequently, the lumps are gained in virtue of the parameter limit approach. Secondly, when applying some constraint conditions to the N-solitons, the resonance Y-type solitons are obtained. They are new types of soliton solutions for this system. Thirdly, adding other constraint conditions to the resonanceY-type solitons, the novel interaction phenomena of resonanceY-type solitons with breathers, and resonanceY-type solitons with the lumps arise. Finally, two types of hybrid solutions are obtained for this system, including the solitons, breathers and lumps; resonance Y-type solitons, breathers and lumps, respectively.
Source: Contemporary Mathematics
Authors: Yanfeng Guo, Ling Wan, Teng-Fei Zhang
Institution: China University of Geosciences
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Awards: G3322270536, G3337973027
OpenAlex ID: W4409099347