Hybrid breather and rogue wave solution for a (2 + 1)-dimensional ferromagnetic spin chain system with variable coefficients

Li, Bang‐Qing

doi:10.1080/00207160.2021.1922678

Cited by 14 publications

(2 citation statements)

References 61 publications

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“…A hybrid structure of solitons and breathers is constructed [28]. Extended DT has been used to study hybrid rogue waves and breather waves [29][30][31], which can describe the interaction between the current-fed string and the external magnetic field and other physical phenomena [32]. Therefore, it is very important to study hybrid rogue waves and breather waves.…”

Section: Introductionmentioning

confidence: 99%

Hybrid rogue waves and breather solutions on the double-periodic background for the Kundu-DNLS equation

Jiang,

Zhaqilao

2024

Commun. Theor. Phys.

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In this paper, by using Darboux transformation (DT) method and Taylor expansion method, a new nth-order determinant of the hybrid rogue waves and breathers solution on the double-periodic background of Kundu-DNLS equation is constructed when n is even. Breathers and rogue waves can be obtained from this determinant, respectively. Further, the hybrid rogue waves and breathers solutions on the different periodic background are given explicitly, including the single-periodic background, the double-periodic background and the plane wave background by selecting different parameters. In addition, the form of the obtained solutions is summarized.

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Section: Introductionmentioning

confidence: 99%

Hybrid rogue waves and breather solutions on the double-periodic background for the Kundu-DNLS equation

Jiang,

Zhaqilao

2024

Commun. Theor. Phys.

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“…By applying the bilinear method, the lump wave solution is constructed in [37]. Recently, Li studied a (2 + 1)-dimensional nonlinear ferromagnetic spin chain system with variable coefficients in [38] and obtained the breather and rogue wave by using the algebraic iteration method. e scholars mentioned above have obtained different traveling wave solutions by different transformations, so they have obtained the properties of HFSC from different directions.…”

Section: Introductionmentioning

confidence: 99%

New Traveling Wave Solutions for the (2 + 1)-Dimensional Heisenberg Ferromagnetic Spin Chain Equation

Han

Wen

et al. 2022

Mathematical Problems in Engineering

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The principal objective of this article is to construct new exact soliton solutions of the (2 + 1)-dimensional Heisenberg ferromagnetic spin chain equation which investigates the nonlinear dynamics of magnets. Through using the complete discrimination system method, the traveling wave solutions are obtained. As a result, we get the traveling wave solutions of the Heisenberg ferromagnetic spin chain equation, which include rational function solutions, Jacobian elliptic function solutions, hyperbolic function solutions, trigonometric function solutions, inverse trigonometric function, logarithmic function. Some graphical representations of the problems and that of comparison are also provided.

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Retrospective Analysis Methods in the Study of the Existence of Anomalous Processes in Geodynamic Systems

Kazankov

Kholodova

2023

Springer Proceedings in Earth and Environmental Sciences

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Hybrid breather and rogue wave solution for a (2 + 1)-dimensional ferromagnetic spin chain system with variable coefficients

Cited by 14 publications

References 61 publications

Hybrid rogue waves and breather solutions on the double-periodic background for the Kundu-DNLS equation

Hybrid rogue waves and breather solutions on the double-periodic background for the Kundu-DNLS equation

New Traveling Wave Solutions for the (2 + 1)-Dimensional Heisenberg Ferromagnetic Spin Chain Equation

Retrospective Analysis Methods in the Study of the Existence of Anomalous Processes in Geodynamic Systems

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