铁氧体中的复Kraenkel-Manna-Merle系统:n倍达布变换，广义达布变换和孤子

IF 2.6 4区数学 Q2 MATHEMATICAL & COMPUTATIONAL BIOLOGY

Mathematical Modelling of Natural Phenomena Pub Date : 2023-01-01 DOI:10.1051/mmnp/2023029

Yuan Shen, Bo Tian, Tian-Yu Zhou, Chong-Dong Cheng

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引用次数: 0

摘要

铁氧体等铁磁性材料用于电子和能源工业。在这里，我们集中研究在某些系数约束下铁氧体中的复杂Kraenkel-Manna-Merle体系。通过已有的Lax对，给出了该系统的N次达布变换，其中N为正整数。通过极限过程，给出了一个允许一个谱参数的N次广义达布变换。该系统的一孤子、二孤子和三孤子解是通过N次达布变换确定的。通过N次广义达布变换，导出了该系统的二阶和三阶退化孤子解。这些孤子用图形表示与铁氧体有关的磁化和外部磁场。

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Complex Kraenkel-Manna-Merle system in a ferrite: N-fold Darboux transformation, generalized Darboux transformation and solitons

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.

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来源期刊

Mathematical Modelling of Natural Phenomena MATHEMATICAL & COMPUTATIONAL BIOLOGY-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

5.20

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Mathematical Modelling of Natural Phenomena (MMNP) is an international research journal, which publishes top-level original and review papers, short communications and proceedings on mathematical modelling in biology, medicine, chemistry, physics, and other areas. The scope of the journal is devoted to mathematical modelling with sufficiently advanced model, and the works studying mainly the existence and stability of stationary points of ODE systems are not considered. The scope of the journal also includes applied mathematics and mathematical analysis in the context of its applications to the real world problems. The journal is essentially functioning on the basis of topical issues representing active areas of research. Each topical issue has its own editorial board. The authors are invited to submit papers to the announced issues or to suggest new issues. Journal publishes research articles and reviews within the whole field of mathematical modelling, and it will continue to provide information on the latest trends and developments in this ever-expanding subject.