Bilinear form and Pfaffian solutions for a (2+1)-dimensional generalized Konopelchenko-Dubrovsky-Kaup-Kupershmidt system in fluid mechanics and plasma physics

In this paper, a (2+1)-dimensional generalized Konopelchenko-Dubrovsky-Kaup-Kupershmidt system in fluid mechanics and plasma physics is investigated. Bilinear form under certain coefficient constraints is given via the Hirota method. The Nth-order Pfaffian solutions are proved by means of the Pfaffian technique, where N is a positive integer. N-soliton and the higher-order breather solutions are exported through the Nth-order Pfaffian solutions. Different two-soliton/breather structures and their dynamics are derived. Elastic/inelastic interactions between the two solitons/breathers are investigated. Graphical representations of the influence of the coefficients in the equation on the velocities and amplitudes of the solitons and breathers are exhibited.