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.

Automated summary

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