Math. Model. Nat. Phenom.
Volume 18, 2023
|Number of page(s)||14|
|Published online||08 November 2023|
Complex Kraenkel-Manna-Merle system in a ferrite: N-fold Darboux transformation, generalized Darboux transformation and solitons
State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China
* Corresponding author: email@example.com
Accepted: 5 August 2023
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.
Mathematics Subject Classification: 35Q51 / 35Q60 / 37K40
Key words: Ferrite / complex Kraenkel-Manna-Merle system / N-fold Darboux transformation / N-fold generalized Darboux transformation / soliton
© The authors. Published by EDP Sciences, 2023
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