Exact multisolitonic solutions and their interactions in a (3+1)-dimensional system.
Taking the approach via a special variable separation, some features of the (3+1)-dimensional multisolitonic solutions, including the embedded soliton, the taperlike soliton, the plateau-type soliton, and the rectangle soliton, were revealed in this study thanks to the intrusion of the appropriate boundary conditions and/or their initial qualifications. Some physical properties, such as the spatiotemporal evolution, wave form structure, and interactive phenomena with or without the background waves of multisolitons are discussed, especially in the two-soliton case. It is found that different interactive behaviors of solitary waves take place under different parameter conditions of collision in this system. It is verified that the elastic interaction phenomena exist in this (3+1)-dimensional integrable model. Furthermore, in other types of nonlinear systems, the abundant (3+1)-dimensional multisolitonic solutions were also investigated.
Bai
Cheng-Lin
CL
School of Physics Science and Information Engineering, Liaocheng University, Shandong, China.
D003198:Computer Simulation; D008962:Models, Theoretical; D011789:Quantum Theory