Novel soliton solutions, local excitations and fractal structures of nonlinear breaking soliton equation

Abstract

The model of ([Formula: see text])-dimensional breaking soliton equation is proposed, and the novel soliton solutions are derived by using the variable separation and extended mapping approach of Riccati equation and then, the propagation dynamics of the solutions which include multi-dromions, ring breather, fusion solitons and other multi-solitons are also constructed. Furthermore, the rich local excitations and fractal structures are investigated. The simulation results verify the proposed scheme. It can get more abundant local excitation structures than the ([Formula: see text])-dimensional nonlinear systems and it has potential values for certain applications in optical field.