## Rocky Mountain Journal of Mathematics

### Solitary wave, breather wave and rogue wave solutions of an inhomogeneous fifth-order nonlinear Schrodinger equation from Heisenberg ferromagnetism

#### Abstract

In this paper, we consider an inhomogeneous fifth-order nonlinear Schrodinger equation from Heisenberg ferromagnetism, which describes the dynamics of a site-dependent Hisenberg ferromagnetic spin chain. Based on its Lax pair, we study the determinant representation of the $n$-fold Darboux transformation (DT). Furthermore, by using the $n$-fold DT, we obtain the higher-order solitary wave, breather wave and rogue wave solutions of the equation, respectively. Finally, the dynamic characteristics of these exact solutions are discussed.

#### Article information

Source
Rocky Mountain J. Math., Volume 49, Number 1 (2019), 29-45.

Dates
First available in Project Euclid: 10 March 2019

Permanent link to this document
https://projecteuclid.org/euclid.rmjm/1552186950

Digital Object Identifier
doi:10.1216/RMJ-2019-49-1-29

Mathematical Reviews number (MathSciNet)
MR3921865

Zentralblatt MATH identifier
07036617

#### Citation

Feng, Lian-Li; Tian, Shou-Fu; Zhang, Tian-Tian. Solitary wave, breather wave and rogue wave solutions of an inhomogeneous fifth-order nonlinear Schrodinger equation from Heisenberg ferromagnetism. Rocky Mountain J. Math. 49 (2019), no. 1, 29--45. doi:10.1216/RMJ-2019-49-1-29. https://projecteuclid.org/euclid.rmjm/1552186950

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