High-order rogue waves for the Hirota equation
arXiv:1304.7164 · doi:10.1016/j.aop.2013.04.004
Abstract
The Hirota equation is better than the nonlinear Schrödinger equation when approximating deep ocean waves. In this paper, high-order rational solutions for the Hirota equation are constructed based on the parameterized Darboux transformation. Several types of this kind of solutions are classified by their structures.
14 pages, 5 figures
Cited by in corpus (14)
- Few-cycle optical rogue waves:complex modified Korteweg-de Vries equation
- State Transition Induced by Higher-order Effects and Background Frequency
- Rogue Waves In Nonlinear Schrödinger Models with Variable Coefficients: Application to Bose-Einstein Condensates
- Trajectory Characters of Rogue Waves
- Higher-order vector Peregrine solitons and asymptotic estimates for the multi-component nonlinear Schrödinger equations
- Rogue waves in a resonant erbium-doped fiber system with higher-order effects
- Darboux transformation of the second-type derivative nonlinear Schrödinger equation
- Some comments on continuous symmetries of AKNS hierarchy equations and their solutions
- Spectral curves for the rogue waves
- Measuring the rogue wave pattern triggered from Gaussian perturbations by deep learning
- Darboux Transformation for the Hirota equation
- Modulation instability and controllable rogue waves with multiple compression points for periodically modulated coupled Hirota equations
- Wigner instability analysis of the damped Hirota equation
- Breather-to-soliton and rogue wave-to-soliton transitions in a resonant erbium-doped fiber system with higher-order effects