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- Title
Rogue waves on the double-periodic background for a nonlinear Schrödinger equation with higher-order effects.
- Authors
Zhang, Hai-Qiang; Liu, Rui; Chen, Fa
- Abstract
In this paper, we study the dynamics of rogue waves on the double-periodic background for a nonlinear Schrödinger equation with higher-order effects. First, we consider two types of double-periodic solutions in terms of the Jacobi elliptic functions. When the elliptic modulus approaches 1, such both double-periodic wave solutions can reduce to the Akhmediev breather solution. Second, with both double-periodic waves as seed solutions, we derive rogue wave solutions from the Darboux transformation method. Further, we demonstrate localized structures of rogue waves formed on double-periodic waves for two sets of different eigenvalues. In addition, we discuss how the higher-order effect affects double-periodic background waves and rogue waves. We expect that our obtained results may help understand rogue waves manifestations on the double-periodic background occurring in hydrodynamics and nonlinear optics with higher-order effects.
- Subjects
ROGUE waves; NONLINEAR Schrodinger equation; DARBOUX transformations; ELLIPTIC functions; SCHRODINGER equation; NONLINEAR optics
- Publication
Nonlinear Dynamics, 2023, Vol 111, Issue 1, p645
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-022-07840-6