Hybrid localized wave solutions for a generalized Calogero–Bogoyavlenskii–Konopelchenko–Schiff system in a fluid or plasma

• Published in: Nonlinear dynamics Vol. 108; no. 3; pp. 2513 - 2530
• Main Authors: Han, Peng-Fei, Bao, Taogetusang
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.05.2022; Springer Nature B.V
• Subjects: Applied mathematics; Automotive Engineering; Classical Mechanics; Control; Dynamic characteristics; Dynamical Systems; Engineering; Exact solutions; Fluid dynamics; Mechanical Engineering; Nonlinear evolution equations; Nonlinear phenomena; Ocean surface; Oceanography; Original Paper; Partial differential equations; Plasma; Simulation; Transformations (mathematics); Vibration; Water waves; Generalized Calogero–Bogoyavlenskii–Konopelchenko–Schiff system; Long wave limit method; Hirota bilinear method; Complex conjugate condition technique; Bilinear auto-Bäcklund transformations

Based on the long wave limit method and complex conjugate condition technique, we investigate hybrid localized wave solutions with different forms for the generalized Calogero–Bogoyavlenskii–Konopelchenko–Schiff system. Four kinds of bilinear auto-Bäcklund transformations are constructed by construc...