Nonlinear Schr¨ odinger Equation and Modulational Instability
Nonlinear evolution of the modulational instability under weak forcing and damping
... damped nonlinear Schr¨odinger equation (fdNLS) and extended the analysis of Segur et ...to modulational instability, encounter an exponential ...dfNLS equation, that ...
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MODULATIONAL INSTABILITY OF THREE DIMENSIONAL WAVES IN A PLASMA WITH VORTEX ELECTRON DISTRIBUTION
... modified nonlinear Schr¨ odinger equation as the evolution equation of the same order of ...The modulational instability of the homogeneous harmonic solution is ...
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Zonal Flow Generation in Toroidally Confined Plasmasthrough Modulational Instability of Drift Waves
... by modulational instability is discussed in a simple slab geometry, both in cold and hot ion ...Hasegawa-Mima equation results in a real nonlinear Schr¨ odinger equa- tion, ...
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ANALYTICAL AND NUMERICAL ASPECTS OF THE DISSIPATIVE NONLINEAR SCHRODINGER EQUATION
... dissipative nonlinear Schr¨ odinger equation (d-NLS equation) are ...d-NLS equation is introduced in order to make ...d-NLS equation and the analytical solutions are ...
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Spatial Disorder Of Coupled Discrete Nonlinear Schr¨odinger Equations
... Discrete Nonlinear Schr¨ odinger Equations Shih-Feng Shieh ∗ Abstract —In this paper, we study the spatial disorder of coupled discrete nonlinear Schr¨ odinger (CDNLS) equations ...
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Modulational instability and higher order rogue wave solutions for an integrable generalization of the nonlinear Schrödinger equation in monomode optical fibers
... the nonlinear Schrödinger equation that arises as a model for nonlinear pulse propagation in monomode optical ...its modulational instability to form the rogue waves is given from its ...
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On the scattering theory for the cubic nonlinear. one space dimension. Schr\"odinger and Hartree type equations in. 1.
... the nonlinear interaction term is f(|u|^{2})=V*|u|^{2} , V(x)=\lambda|x|^{-\delta} , \lambda\in R , 0<\delta<1 in the Hartree type case, or f(|u|^{2})=\lambda|t|^{1-\delta}|u|^{2} in the case of the cubic ...
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Modulational instability of bright solitary waves in incoherently coupled nonlinear Schrödinger equations
... the modulational insta- bility (MI) of ground-state bright solitary solutions of two in- coherently coupled nonlinear Schr¨ odinger ...
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EVOLUTION OF MODULATIONAL INSTABILITY IN TRAVELLING WAVE SOLUTION OF NON-LINEAR PARTIAL DIFFERENTIAL EQUATION
... Schrodinger equation which describes a plane self-focusing and one dimensional self-modulation of waves in nonlinear dispersive media ...0 Equation reduces to the modified Korteweg- de Vries ...
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Existence of Fractional Stochastic Schr¨odinger Evolution Equations with Potential and Optimal Controls
... [5] Z. Yan, “Existence results for fractional functional integrodifferential equations with nonlocal conditions in Banach spaces, ” Annales Polonici Mathematici, vol. 97, no. 3, pp. 285-299, Apr. 2010. [6] A. Chauhan and ...
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On a laser (3+1)-dimensional vectorial cubic-quintic complex Ginzburg-Landau equation and modulational instability
... especially the disintegration of the plane wave solutions into nonlinear waves patterns. 396.[r] ...
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On the split-step method for the solution of nonlinear Schr"{o}dinger equation with the Riesz space fractional derivative
... fractional Schr¨ odinger equation was discovered by Nick Laskin [13] as a result of extending the Feynman path integral, from the Brownian-like to Levy-like quantum mechanical ...fractional ...
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MODULATIONAL INSTABILITY OF ION-ACOUSTIC WAVE IN PLASMAS WITH TWO ELECTRON TEMPERATURE DISTRIBUTION
... modulation instability of ion-acoustic waves has been theoretically investigated in an unmagnetized collisionless plasma with (hot and cold) electrons, positrons and ...A nonlinear Schrödinger ...
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Modulational instability of solitary waves in nondegenerate three-wave mixing : the role of phase symmetries
... lational instability (MI) of solitary waves in the nonlinear Schr¨ oedinger equation (NLS) can be generalised for models with two phase ...neck instability, which dominates the usual ...
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Schr¨odinger Equation and the Quantization of Celestial Systems
... generalize Schr ¨odinger equation to describe quantization of celestial ...of Schr¨odinger equation from Gross-Pitaevskii-Ginzburg equation, which supports this superfluid ...
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A Schr¨odinger Equation for Solving the Riemann Hypothesis
... resulting Schr¨ odinger equation is performed, and a convergent solution for the nontrivial zeros of the analytic continuation of the Riemann zeta function is ...
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SCHR ¨ ODINGER OPERATORS
... p 0 )-boundedness of commutator generated by Riesz transform associated with the Schr¨ odinger operator and BM O A type functions. By using the sharp maximal function estimates and establishing the “good-λ ...
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Numerical Solution of Time-Dependent Gravitational Schr ¨odinger Equation
... gravitational Schr¨odinger equation, including Rubcic & Rubcic’s method and also Nottale’s Scale Relativity ...gravitational Schr ¨odinger equation ...gravitational ...
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Covariance of the Schr¨ odinger equation under low velocity boosts.
... that Schr¨odinger wave functions are not covari- ant under Galilean ...the Schr¨odinger group and claim Galilean invariance of the Schr¨odinger wave ...the ...
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OF MAGNETIC SCHR ¨ ODINGER OPERATORS
... 1. Introduction In quantum mechanics, a vector potential is said to have a direct signifi- cance to particles moving in a magnetic field. This is called the Aharonov– Bohm effect (AB effect) and is known as one of the ...
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