Geodesic
Complex Kraenkel-Manna-Merle system in a ferrite: N-fold Darboux transformation, generalized Darboux transformation and solitons
Yuan Shen1 ; Bo Tian1 ; Tian-Yu Zhou1 ; Chong-Dong Cheng1
1 State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China
Mathematical modelling of natural phenomena, Tome 18 (2023), article no. 30.

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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.
DOI : 10.1051/mmnp/2023029

Yuan Shen 1 ; Bo Tian 1 ; Tian-Yu Zhou 1 ; Chong-Dong Cheng 1

1 State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China 
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Yuan Shen; Bo Tian; Tian-Yu Zhou; Chong-Dong Cheng. Complex Kraenkel-Manna-Merle system in a ferrite: N-fold Darboux transformation, generalized Darboux transformation and solitons. Mathematical modelling of natural phenomena, Tome 18 (2023), article  no. 30. doi : 10.1051/mmnp/2023029. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/2023029/

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