Nonlinear SchrÖdinger (NLS−) Equation
Modeling extreme wave heights from laboratory experiments with the nonlinear Schrödinger equation
... NLS equation also simulates the experiment reasonably well ex- cept for the initial stage where the wave height in the experi- ment is still Rayleigh distributed but the numerical result has achieved a fully ...
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Vector Nonlinear Schrödinger Equation on the half-line
... vector nonlinear Schrödinger equation (VNLS) on the ...one-dimensional nonlinear Schrödinger equation (NLS) along two directions: adding internal degrees of freedom and adding a ...
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Stability Solution of the Nonlinear Schrödinger Equation
... .An important part of the local well-posed- ness theory is the study of how the strong solutions built in the past subsection depend upon the initial data. More accurate, we want to know if the small perturbation of ...
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On the Stability of the Defocusing Mass Critical Nonlinear Schrödinger Equation
... described nonlinear Schrödinger equations in exterior ...energy-critical nonlinear Schrödinger equation and the focusing cubic nonlinear Schrödinger equation in the ...
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Non polynomial spline method for the time fractional nonlinear Schrödinger equation
... The possibility of using spline functions for smooth approximate solution of differential systems was given by Ahlberg et al. [17]. Since then, the spline method has been applied to solve the boundary value problems ...
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Blow up criteria for the inhomogeneous nonlinear Schrödinger equation
... the complex valued function and < T ≤ +∞; the parameter b ≥ and < p < p ˜ (we use the convention: p ˜ = +∞ for N = , p ˜ = N– N + N b – for N ≥ ); N ≥ is the space dimension. A few years ago, it ...
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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 ...
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The N soliton of the focusing nonlinear SchrÖdinger equation for N large
... focusing nonlinear Schrödinger equation to nonlinear fiber optics, the limit h ¯ ↓ 0 is interesting because it corresponds to weak dispersion, a situation in which nonlinear effects are ...
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The Interaction and Degeneracy of Mixed Solutions for Derivative Nonlinear Schrödinger Equation
... The mixed solutions of the derivative nonlinear Schrödinger equation from the trivial seed (zero solution) are derived by using the determinant repre- sentation. By adjusting the interaction and ...
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Martingale solutions for the stochastic nonlinear Schrödinger equation in the energy space
... stochastic nonlinear Schrödinger equation with multiplicative noise in an abstract framework that covers subcritical focusing and defocusing Stochastic NLSE in H 1 on compact manifolds and bounded ...
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Conservative finite difference schemes for the chiral nonlinear Schrödinger equation
... In this paper, we derive three finite difference schemes for the chiral nonlinear Schrödinger equation (CNLS). The CNLS equation has two kinds of progressive wave solutions: bright and dark ...
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Derivation of the Nonlinear Schrödinger Equation by The Derivative Perturbation Expansion Method
... the Nonlinear Schrödinger equation from the Hasegawa-Mima equation, an equation for drift-waves, using the derivative perturbation expansion ...the Nonlinear Schrödinger ...
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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] ...
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Rogue Waves of the Kundu Nonlinear Schrödinger Equation
... This paper is based on the Darboux transformation of the Kundu-Nonlinear Schrödinger equation. The rogue wave so- lutions are obtained from periodic seed solutions. After that, the higher order rogue ...
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Numerical investigation of stability of breather-type solutions of the nonlinear Schrödinger equation
... first mode of the perturbed solution. A second mode is ex- cited by the perturbation of the initial data at t ≈ 20, which does not develop in any element of | U (1) (x, t ; ρ) | . In fact, small perturbations in the ...
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Spline Solution for the Nonlinear Schrödinger Equation
... The aim of this paper is to give an exponential spline interpolation method for the NLS equation. The paper is organized as follows. In Section 2, construction of the method is presented. The stability analysis of ...
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On an infinite sequence of invariant measures for the cubic nonlinear Schrödinger equation
... Vries equation or the cubic NLS possess countable sets of conservation laws and are formally infinite- dimensional Hamiltonian ...sinh-Gordon equation is contained in ...Vries equation that to any ...
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Unconditional uniqueness results for the nonlinear Schrödinger equation
... Abstract. We study the problem of unconditional uniqueness of solutions to the cubic nonlinear Schr¨ odinger equation. We introduce a new strategy to approach this problem on bounded domains, in particular ...
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A mass conserved splitting method for the nonlinear Schrödinger equation
... is usually carried out in the whole space R in the continuous level, while they are car- ried out on a bounded domain Ω in the discrete level, so there is a locking phenomena in practical computation as observed in [17]; ...
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The Quench Map in an Integrable Classical Field Theory: Nonlinear Schrödinger Equation
... Finally, we study a “dual quench” protocol, where the field is abruptly changed while the scattering data are fixed. This is related to the quench map by intertwining with the scattering transform, and has an ...
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