Year: 2025
Type: article
Abstract: This study is dedicated to an in-depth exploration of the integrable structure inherent in the coupled KdV equation, with particular emphasis on solving Lax pairs and their application in constructing Darboux Transformation and Bäcklund Transformation. By leveraging these transformations, we have derived a series of superposition formulas that offer novel insights into understanding the interactions among solitary waves within coupled systems. Furthermore, our successful identification of a recursive operator for this system not only enhances our comprehension of the dynamical behaviors exhibited by the coupled KdV equations but also establishes a theoretical cornerstone for future research endeavors in this field.
Authors: Jihong Wang, Lixiu Wang, Jia Yangjie
Institution: Qinghai Normal University
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $1,490
Award: G5819986255
OpenAlex ID: W4409502388