[PDF] Top 20 Rogue Waves of the Kundu Nonlinear Schrödinger Equation
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Rogue Waves of the Kundu Nonlinear Schrödinger Equation
... In Section 3, From a periodic seed solution, breather solutions, the first-order rogue wave and higher order rogue wave solutions of the Kundu-NLS equation are given.. The higher order r[r] ... See full document
5
A mass conserved splitting method for the nonlinear Schrödinger equation
... existence of standing waves was proven in [13,14]. Due to the dipolar interaction potential of the nonlocal NLS, mathematical and numerical difficulties are introduced. Currently, the Fourier transform [15,16] is ... See full document
13
Modulational instability and higher order rogue wave solutions for an integrable generalization of the nonlinear Schrödinger equation in monomode optical fibers
... coefficients nonlinear Schrödinger equation, which plays an impor- tant role in the control of the ultrashort optical pulse propagation in nonlinear optical systems ...vector rogue wave ... See full document
17
Relationship between Sea Surface Single Carrier Waves and Decreasing Pressures of Atmosphere Lower Boundary
... high waves appearing on the sea surface for a short time (freak, rogue or killer waves) have been considered as a part of marine folklore for a long ...freak waves. To allow a better under- ... See full document
11
Concentrating standing waves for the fractional Schrödinger equation with critical nonlinearities
... The goal of this paper is to show, by variational techniques as developed by Rabinowitz [], Wang [], Ding and Liu [] in the classical case, that semiclassical solutions con- centrate around some certain points that ... See full document
26
A hybrid model for simulating rogue waves in random seas on a large temporal and spatial scale
... simulating rogue waves in random seas on a large temporal and spatial scale is proposed in this ...Enhanced Nonlinear Schrödinger Equation based on Fourier transform, the Enhanced ... See full document
50
Lagrange form of the nonlinear Schrödinger equation for low-vorticity waves in deep water
... a nonlinear evolution equation is derived on the basis of the method of multiple-scale ...NLS equation adequately describing various examples of vortex waves are considered in ...NLS ... See full document
10
Rogue waves and large deviations in deep sea
... elevation. Rogue waves appear suddenly and unpredictably, and can lead to water walls with vertical size on the order of 20–30 m (3, 4), with enormous destructive ...a nonlinear amplification ... See full document
24
The Interaction and Degeneracy of Mixed Solutions for Derivative Nonlinear Schrödinger Equation
... DNLS equation can be expressed by Darboux ...DNLS equation and introduced the so-called “paired soliton”, which is now regarded as the breather ...The rogue waves [12] [13] [14] [15] can be ... See full document
8
Abundant Lump Solutions and Interaction Phenomena to the Kadomtsev Petviashvili Benjamin Bona Mahony Equation
... Soliton, rogue waves, lump solutions, breather waves and interaction solutions of nonlinear evolution equations (NLEEs) have attracted more and more atten- tion [1] [2] [3] [4], and lump ... See full document
15
The general mixed nonlinear Schrödinger equation: Darboux transformation, rogue wave solutions, and modulation instability
... of rogue waves on the ocean is very difficult and dangerous, unreliable and few records and observations are available, which led to a lack of research on the rogue wave scientific community recognizing ... See full document
18
Rare events in optical fibers
... of rogue waves and interacting quasi-solitons in optical ...of rogue waves in the generalized non-linear Schrödinger equation with third-order ...for rogue wave emergence ... See full document
125
Existence of the global attractor to fractional order generalized coupled nonlinear Schrödinger equations with derivative
... to nonlinear media of the parax- ial approximation used for linear waves propagating in some random ...and nonlinear birefringent traps them together against ...coupled nonlinear ... See full document
27
Solitons, Breathers and Rogue Waves in Nonlinear Media
... is nonlinear by nature, and a physical theory, involves a combination of funda- mental physics represented by a nonlinear dynamical ...first nonlinear problem to arise in the field of physics and in ... See full document
239
Extreme wave events in Ireland: 14 680 BP–2012
... The climate in Ireland is dominated by the Atlantic Ocean, and its associated wind patterns are responsible for the gen- eration of a large population of storm waves. The polar front (transition between warm dense ... See full document
24
Global and local aspects of causality in quantum mechanics
... the Schrödinger equation (for the observed system and the environment) are those which satisfy both observations, no matter how counterintuitive is this from the viewpoint of classical ... See full document
10
Asymptotic stability of standing waves for the coupled nonlinear Schrödinger system
... This paper considers the asymptotic stability of standing waves of a coupled nonlinear Schrödinger system with an attractive potential.. In particular, for the existence of standing wave[r] ... See full document
12
The Mass Critical for the Nonlinear Schrödinger Equation in d = 2
... Zhang, “Global Well-Posedness and Scattering for the Defocusing Mass-Critical Nonlinear Schrödinger Equation for Radial Data in High Dimensions,” Duke Mathematical Journal, Vol.. Zhang, [r] ... See full document
9
Non Scattering of the Solution of the Nonlinear Schrödinger Equation on the Torus
... In this article, we will show non-scattering of the solution of the nonlinear Schrodinger equation on the torus. The result extends the result of Colliander, J., Keel, M., Staffilani, G., Takaoka, H. and ... See full document
6
On an initial boundary value problem for the nonlinear Schrödinger equation
... an existence and uniqueness result for the damped problem holding for arbitrary initial values.. For this purpose we start from.[r] ... See full document
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