Fusion and fission phenomena for the soliton interactions in a plasma
State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, 100876, Beijing, China
Accepted: 16 December 2016
Published online: 1 February 2017
Investigation in this paper is given to a generalized (3 + 1) -dimensional variable-coefficient Kadomtsev-Petviashvili equation for a plasma. Via the bilinear form, the singular and double Wronskian soliton solutions are derived, respectively, under the different variable-coefficient constraints. Interactions between the two solitons are depicted, where the soliton fusion and fission phenomena are respectively pictured out, both for the velocity-unvarying and velocity-varying two solitons. Soliton velocity is related to the variable coefficients h(t), l (t), q(t), m(t) and n(t), while the soliton amplitude is not affected by them, where h(t), l(t) and q(t) are the perturbed effects, m(t) and n(t) stand for the disturbed wave velocities along the transverse spatial coordinates.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2017