nonlinear Schr¨odinger equation
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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Factorization in integrable systems with impurity
... quantum nonlinear Schr¨odinger equation is the paradigm of quantum integrable field theories (see ...the nonlinear evolution ...
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Nonlinear compressional electromagnetic ion-cyclotron wavepackets in space plasmas
... cubic nonlinear Schr¨odinger equation, we have shown that the EMIC waves are mod- ulationally stable against quasi-stationary density perturba- tions, and that the modulated electric field ...
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Exact solution of the(2+1)-dimensional hyperbolic nonlinear Schrodinger equation by Adomian decomposition method
... In this paper the Adomian decomposition method will determine exact solution to (2+1)-dimensional hy- perbolic nonlinear Schr ¨odinger equation. In Section 2, we described this method for ...
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Numerical solution of time fractional nonlinear Schrodinger equation arising in quantum mechanics by cubic B-spline finite elements
... fractional nonlinear Schr ¨odinger equation which is frequently encountered in quantum mechanics by using cubic B-spline collocation ...
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Parallel Computing for the study of the focusing Davey-Stewartson II equation in semiclassical limit*
... of nonlinear Schr¨ odinger equations is a major challenge with so far only scattered results in 1 + 1 ...dimensional nonlinear Schr¨ odinger equation with a nonlocal term, ...
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Caustics and the indefinite signature Schroedinger equation : linear and nonlinear
... 39. R. Killip; M. Visan; X. Zhang, Energy-critical NLS with Quadratic Potentials, (2006). 40. T. Tao; M. Visan; X. Zhang, Global well-posedness and scattering for the mass critical nonlinear Schr¨ ...
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WELL-POSEDNESS OF NONLINEAR FRACTIONAL SCHRODINGER AND WAVE EQUATIONS IN SOBOLEV SPACES
... fractional Schr¨ odinger equation was discovered by ...This equation also appears in the water wave models (see ...well-known nonlinear Schr¨ odinger equation σ = 2 ...
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Webb_unc_0153D_17278.pdf
... the nonlinear Dirac system to examine how these yield solutions to the nonlinear Schr¨ odinger equation from which it is was ...Dirac equation derived by Ablowitz, Nixon, and Zhu ...
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On the split-step method for the solution of nonlinear Schr"{o}dinger equation with the Riesz space fractional derivative
... time-fractional Schr¨ odinger ...the Schr¨ odinger equation on a uniform ...fractional nonlinear Schr¨ odinger ...fractional nonlinear Schr¨ ...
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AN APPROXIMATE WAVE SOLUTION FOR PERTURBED KDV AND DISSIPATIVE NLS EQUATIONS: WEIGHTED RESIDUAL METHOD
... many nonlinear partial differential equations encoun- tered in physics and engineering cannot be found by direct ...these nonlinear differential equations allow us to in- troduce a smallness parameter, ...
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Spatial Disorder of Soliton Solutions for 2D Nonlinear Schr¨odinger Lattices
... NLS equation can be approximated by a DNLS equation by using the “tight binding approximation” ...[24]. Equation (1) describes a large class of discrete nonlinear systems such as optical ...
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On the collapse of trial solutions for a damped driven nonlinear Schrödinger equation
... Abstract: We consider the focusing 2D non-linear Schr¨ odinger equation, perturbed by a damping term, and driven by multiplicative noise. We show that a physically motivated trial solution does not ...
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Quantum resolution of the nonlinear super-Schrodinger equation
... The nonlinear Schr¨odinger (NLS) equation (for a review, see e.g. [1]) is one of the most studied system in quantum integrable systems, and its simplest version played an important role in the ...
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1-Soliton Solution of the Biswas-Milovic Equation With Log Law Nonlinearity
... Biswas-Milovic equation (BME) first appeared in 2010 ...This equation is a generalized version of the nonlinear Schr¨ odinger’s equation (NLSE) that is primarily studied in the context ...
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A non-symmetric Yang-Baxter Algebra for the Quantum Nonlinear Schrödinger Model
... quantum nonlinear Schr¨odinger model, introduced by Komori and Hikami using Gutkin’s propagation opera- tor, which involves representations of the degenerate affine Hecke ...Yang-Baxter ...
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Spatial Disorder Of Coupled Discrete Nonlinear Schr¨odinger Equations
... Since |μ| < 1, by the contraction mapping theorem, the equation { v = h(u) , u = g(v) } has a unique solu- tion in B × B . This means H ∗ k −1 ,k −2 ,... = { v = h(u) } and V k ∗ 0 ,k 1 ,... = { u = g(v) } have ...
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A Fully Conservative Parallel Numerical Algorithm with Adaptive Spatial Grid for Solving Nonlinear Diffusion Equations in Image Processing
... diffusion equation. With ϕ = π/2 we get non-linear Schr¨ odinger equation (in generalized sense, because non-linear Schr¨ odinger equation assumes non-linearity of third ...
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Homotopy Perturbation Method Combined with ZZ Transform to Solve Some Nonlinear Fractional Differential Equations
... solve nonlinear fractional partial differential ...following nonlinear time-fractional Fokker-Planck equation, the cubic nonlinear time-fractional Schr¨ odinger equation ...
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Coupled-coherent-states approach for high-order harmonic generation
... serves to provide additional stability. The size of the grid on the q-axis must of course account for the max- imum displacement experienced by the wavefunction so as to avoid significant lost amplitude from the ...
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