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2019 Solitary wave, breather wave and rogue wave solutions of an inhomogeneous fifth-order nonlinear Schrodinger equation from Heisenberg ferromagnetism
Lian-Li Feng, Shou-Fu Tian, Tian-Tian Zhang
Rocky Mountain J. Math. 49(1): 29-45 (2019). DOI: 10.1216/RMJ-2019-49-1-29

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.

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Lian-Li Feng. Shou-Fu Tian. Tian-Tian Zhang. "Solitary wave, breather wave and rogue wave solutions of an inhomogeneous fifth-order nonlinear Schrodinger equation from Heisenberg ferromagnetism." Rocky Mountain J. Math. 49 (1) 29 - 45, 2019. https://doi.org/10.1216/RMJ-2019-49-1-29

Information

Published: 2019
First available in Project Euclid: 10 March 2019

zbMATH: 07036617
MathSciNet: MR3921865
Digital Object Identifier: 10.1216/RMJ-2019-49-1-29

Subjects:
Primary: 35Q15, 35Q51, 41A60

Rights: Copyright © 2019 Rocky Mountain Mathematics Consortium

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Vol.49 • No. 1 • 2019
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