Author:
Shen Yuan,Tian Bo,Zhou Tian-Yu,Cheng Chong-Dong
Abstract
Ferromagnetic materials such as the ferrites are used in the electronic and energy industries. Here, we concentrate on a complex Kraenkel-Manna-Merle system in a ferrite, under some coefficient constraints. An N-fold Darboux transformation of that system is presented via an existing Lax pair, where N is a positive integer. An N-fold generalized Darboux transformation, which admits one spectral parameter, is proposed through a limit procedure. One-, two- and three-soliton solutions of that system are determined via that N-fold Darboux transformation. The second-order and third-order degenerate soliton solutions of that system are derived via that N-fold generalized Darboux transformation. Those solitons are graphically represented for the magnetization and external magnetic field related to a ferrite.
Funder
BUPT Excellent Ph.D. Students Foundation
National Natural Science Foundation of China
State Key Laboratory of Information Photonics and Optical Communications
Fundamental Research Funds for the Central Universities
Subject
Modeling and Simulation,Applied Mathematics