Abstract
Abstract The aim of this paper is to study an extended modified Korteweg-de Vries Calogero-Bogoyavlenskii-Schiff (mKdV-CBS) equation and present its Lax pair with a spectral parameter. Meanwhile, a Miura transformation is explored, which reveals the relationship between solutions of the extended mKdV-CBS equation and the extended (2+1)-dimensional Korteweg-de Vries (KdV) equation. On the basis of the obtained Lax pair and the existing research results, Darboux transformation is derived, which plays a crucial role in presenting soliton solutions. Besides, soliton molecules are given by the velocity resonance mechanism.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
