Journal
NONLINEAR DYNAMICS
Volume 82, Issue 1-2, Pages 489-500Publisher
SPRINGER
DOI: 10.1007/s11071-015-2170-6
Keywords
Rogue wave; Higher-order nonlinear Schrodinger equation; Darboux transformation; Complex nonlinearities
Categories
Funding
- National Natural Science Foundation of China (NNSFC) [11290152, 11072008, 10732020]
- Funding Project for Academic Human Resources Development in Institutions of Higher Learning under the Jurisdiction of Beijing Municipality (PHRIHLB)
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In this paper, the Nth-order rogue waves are investigated for an inhomogeneous higher-order nonlinear Schrodinger equation. Based on the Heisenberg ferromagnetic spin system, the higher-order nonlinear Schrodinger equation is generated. The generalized Darboux transformation is constructed by the Darboux matrix. The solutions of the Nth-order rogue waves are given in terms of a recursive formula. There are complex nonlinear phenomena in the rogue waves, add the first-order to the fourth-order rogue waves are discussed in some figures obtained by analytical solutions. It is shown that the general Nth-order rogue waves contain free parameters. The free parameters play a crucial role to affect the dynamic distributions of the rogue waves. The results obtained in this paper will be useful to understand the generation mechanism of the rogue wave.
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