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Instability dynamics of Peregrine soliton revisited with a modal expansion technique
In this paper, we aim at taking a step towards exploring the unstable dynamics of Peregrine soliton as a prototype of rogue waves. Given its...
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Versatile excitations of 3D partially nonlocal bright–bright Peregrine-quartets in a nonautonomous vector nonlinear Schrödinger equation under a parabolic potential
This paper aims to study versatile excitations of (3+1)-dimensional partially nonlocal bright–bright Peregrine-quartets in a nonautonomous vector...
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3D bright-bright Peregrine triple-one structures in a nonautonomous partially nonlocal vector nonlinear Schrödinger model under a harmonic potential
Similar dynamical properties of coupled solitons have been heavily reported in previous literatures. This paper focuses on the different excitation...
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Effect of Vorticity on Peregrine Breather for Interfacial Waves of Finite Amplitude
A third-order nonlinear Schrödinger equation (NLSE) in one space variable has been established for a finite amplitude wave propagating along the...
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Peregrine Preying Pattern-Based Differential Evolution
Jain, Sanjay Sharma, Vivek Kumar Kumar, SandeepThe differential evaluation (DE) algorithm is an evolutionary algorithm. It is a popular...
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Rogue waves formation by solitons synchronization and resonance: Gerdjikov-Ivanov equation
Rogue waves usually possess localized large-amplitude waves and coming from nowhere and disappearing without any trace. The Peregrine solitons with...
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Peregrination, layers’ and multi-peaks’ generation induced by cubic-quintic-saturable nonlinearities and higher-order dispersive effects in a system of coupled nonlinear left-handed transmission lines
We establish a cubic-quintic-saturable nonlinear Schrödinger equation (CQSNLSE) with higher-order dispersive effects in a system of coupled nonlinear...
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Certain analytical solutions of the concatenation model with a multiplicative white noise in optical fibers
In the presence of spatio-temporal dispersion, perturbation terms of the Hamiltonian type as well as multiplicative white noise, analytical...
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An Analytical Solution for the Frictionless Swash Hydrodynamics Under an Improved Nonlinear Seaward Boundary Condition
In the swash zone, it is essential to have a proper understanding of the spatial distribution and temporal variation of both the flow velocity and...
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Diverse excitations of two-component rogue waves for a nonautonomous coupled partially nonlocal nonlinear Schrödinger model under a parabolic potential
Vector similar structures for solutions with similar expressions of nonlinear models are paid attention in the previous literature. However, the...
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Non-compatible partially PT symmetric Davey-Stewartson system: rational solution in constant wave background
This paper derives a family of rational solutions with several non-zero offset parameters for a non-compatible partially PT symmetric...
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The distortion study of rogue waves of the generalized nonlinear Schrödinger equation under the third-order dispersion perturbation
We have investigated the robustness of the rogue wave solutions of two reductions of the generalized nonlinear Schrödinger equation with the...
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Excitation control for three-dimensional Peregrine solution and combined breather of a partially nonlocal variable-coefficient nonlinear Schrödinger equation
A (2 + 1)-dimensional variable-coefficient partially nonlocal nonlinear Schrödinger equation is considered, and analytical Peregrine solution (PS)...
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Linear-shear-current modified nonlinear Schrödinger equation for gravity-capillary waves on deep water
Starting from Zakharov’s integral equation (ZIE) a modified nonlinear Schrödinger equation (NLSE) correct to fourth-order in wave steepness for deep...
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Rogue waves and modulation instability in an extended Manakov system
We obtain the general n th-order rogue wave solutions of the vector cubic-quintic nonlinear Schrödinger equation with self-steepening, alias extended...
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Experimental Study on the Effect of Extreme Waves on a LNG Carrier
This paper presents a comprehensive experimental study on the effect of extreme waves on a LNG carrier. The LNG carrier model was equipped with a...
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Rogue wave excitations of the (2 + 1)-dimensional nonlinear Zakharov system
We perform the self-similar transformation of the (2 + 1)-dimensional nonlinear Zakharov system, and simplify it to the standard (1 + 1)-dimensional...
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Kuznetsov–Ma rogue wave clusters of the nonlinear Schrödinger equation
In this work, we investigate rogue wave (RW) clusters of different shapes, composed of Kuznetsov–Ma solitons (KMSs) from the nonlinear Schrödinger...
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Study on the behavior of weakly nonlinear water waves in the presence of random wind forcing
Specific solutions of the nonlinear Schrödinger equation, such as the Peregrine breather, are considered to be prototypes of extreme or freak waves...
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Progress in the Research of Wave Slamming Forces on Vertical Cylinders
Wave slamming is an important phenomenon due to its destructive power, and with the rapid development of offshore wind turbines, wave slamming on...