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Rogue waves for the fourth-order nonlinear Schrödinger equation on the periodic background.
Chaos, 2021In this paper, we construct rogue wave solutions on the periodic background for the fourth-order nonlinear Schrödinger (NLS) equation. First, we consider two types of the Jacobi elliptic function solutions, i.e., dn- and cn-function solutions.
Hai-Qiang Zhang, Fa Chen
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Rogue waves in the sea: observations, physics and mathematics
Uspekhi Fizicheskih Nauk, 2021. Rogue waves are anomalously high waves that may suddenly form on the sea surface. At the dawn of the 21st century, they attracted the interest of researchers, from oceanographers to mathematicians.
A. Slunyaev +2 more
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Beak-shaped rogue waves for a higher-order coupled nonlinear Schrödinger system with 4 × 4 Lax pair
Applied Mathematics Letters, 2021In this paper, we investigate the beak-shaped rogue waves for a higher-order coupled nonlinear Schrodinger system. Firstly, we construct the 4 × 4 Lax pair and N th-order Darboux transformation. Secondly, with the non-zero seed solutions, we derive the N
Zhong Du, Yan Ma
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CLEO: 2013, 2013
Rogue wave formation from a high-order soliton in optical fibers can be inhibited by simultaneously launching dispersive waves at suitable delay, wavelength, and duration. Addition of low-energy wavepackets dramatically affects the emerging soliton amplitude statistics.
A. Demircan +4 more
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Rogue wave formation from a high-order soliton in optical fibers can be inhibited by simultaneously launching dispersive waves at suitable delay, wavelength, and duration. Addition of low-energy wavepackets dramatically affects the emerging soliton amplitude statistics.
A. Demircan +4 more
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Nth-order rogue waves for the AB system via the determinants
Applied Mathematics Letters, 2021Under investigation in this paper is the AB system, which is used to describe the baroclinic instability processes in the geophysical flows. With the generalized Darboux transformation, the N th-order ( N = 1 , 2 , 3 , … ) rogue wave solutions of the AB ...
Jing-Jing Su, S. Zhang
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Physics Letters A, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shukla, P. K., Moslem, W. M.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shukla, P. K., Moslem, W. M.
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Ocean Dynamics, 2003
We present a basic analysis of the propagation of deep-water waves on curved trajectories. The key feature is that the amplitude of the wave varies transversely, and may result in the generation of a short-crested wave of high amplitude. The properties of these waves are explored, and it is suggested that they are a model for extreme waves, which may ...
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We present a basic analysis of the propagation of deep-water waves on curved trajectories. The key feature is that the amplitude of the wave varies transversely, and may result in the generation of a short-crested wave of high amplitude. The properties of these waves are explored, and it is suggested that they are a model for extreme waves, which may ...
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Rogue wave in Titan’s atmosphere
Astrophysics and Space Science, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
El-Labany, S. K. +4 more
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