In nonlinear optics, fluid dynamics and plasma physics: symbolic computation on a (2+1)-dimensional extended Calogero–Bogoyavlenskii–Schiff system
State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, 100876, Beijing, China
Accepted: 13 March 2021
Published online: 24 May 2021
A (2+1)-dimensional extended Calogero–Bogoyavlenskii–Schiff system in nonlinear optics, fluid dynamics and plasma physics is investigated via the symbolic computation in this paper. Soliton solutions, which are kink-shaped, are obtained via the Hirota method. Breather solutions are derived via the extended homoclinic test approach, and lump solutions are obtained from the breather solutions under a limiting procedure. We find that the shape and amplitude of the one soliton keep unchanged during the propagation, and the velocity of one soliton depends on all the coefficients in the system. We graphically demonstrate that the interaction between the two solitons is elastic, and analyse the solitons with the influence of the coefficients. We observe that the amplitudes and shapes of the breather and lump remain unchanged during the propagation, and graphically present the breathers and lumps with the influence of the coefficients.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021