Hybrid breather and rogue wave solution for a (2 + 1)-dimensional ferromagnetic spin chain system with variable coefficients. (English) Zbl 1499.30276
Summary: In this paper, under investigation is a \(2+1\)-dimensional nonlinear ferromagnetic spin chain system with variable coefficients. The system can be used to describe wave propagation in ferromagnetic materials. An algebraic iterative technique is proposed to construct a new hybrid breather and rogue wave solution of the system. Furthermore, abundant interaction behaviours between the breather and rogue wave are observed by choosing variable coefficient function and adjusting the parameters.
MSC:
| 30D35 | Value distribution of meromorphic functions of one complex variable, Nevanlinna theory |
| 34A05 | Explicit solutions, first integrals of ordinary differential equations |
| 37K40 | Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems |
Keywords:
\(2+1\)-dimensional ferromagnetic spin chain system; variable coefficient; algebraic iterative technique; hybrid breather and rogue wave solution; interaction behaviourReferences:
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