[PDF] Top 20 Vector Nonlinear Schrödinger Equation on the half-line
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Vector Nonlinear Schrödinger Equation on the half-line
... the vector nonlinear Schrödinger equation (VNLS) on the ...the line for a vector field with two components was introduced and solved by the inverse scattering method by Manakov ... See full document
24
The Quench Map in an Integrable Classical Field Theory: Nonlinear Schrödinger Equation
... Focusing to defocusing quench In this case, we assume that c > 0. Performing the same analysis to find the possible zeros of a(k, c) in the upper half-plane, we find no solutions. This is consistent with the ... See full document
35
Benjamin Ono Equation on a Half Line
... of nonlinear equations on a half-line we refer to the book 16, where it was developed systematically a general theory of the initial-boundary value problems for nonlinear evolution equations ... See full document
38
The quench map in an integrable classical field theory: nonlinear Schrödinger equation
... Focusing to defocusing quench In this case, we assume that c > 0. Performing the same analysis to find the possible zeros of a(k, c) in the upper half-plane, we find no solutions. This is consistent with the ... See full document
37
Modeling extreme wave heights from laboratory experiments with the nonlinear Schrödinger equation
... The same procedure of processing wave data is adopted in Fig. 9 where the relationship between steepness of max- imum wave height and initial Benjamin–Feir index is man- ifested. In our experiment a similar variation to ... See full document
10
An asymptotic property of the Camassa-Holm equation on the half-line
... Euler equation by Iftimie, Lopes, and Nussenzveig [, ...Camassa-Holm equation are similar. They satisfy simi- lar first order nonlinear nonlocal equations and give the velocity through similar ... See full document
14
Nonstandard finite difference variational integrators for nonlinear Schrödinger equation with variable coefficients
... the equation at half time-grid ...the nonlinear Schrödinger equations also preserves the conservation law very well []; however, it is not multi-symplectic for the NLSE, which is a ... See full document
22
Asymptotics for Nonlinear Evolution Equation with Module-Fractional Derivative on a Half-Line
... The Cauchy problem for a wide class of nonlinear nonlocal dissipative equations has been studied extensively. In particular, the general approach for the study of the large time asymptotics to the Cauchy problem ... See full document
29
Existence of solutions for a class of nonlinear boundary value problems on half-line
... It is well-known that [17,18] if the second order linear Equation (1.4) has a positive solution or nonoscillatory at ∞, then there exist two linearly independent solutions u(t) and v(t), called principal and ... See full document
9
Positive solutions for nonlinear singular boundary value problems on the half line
... singular equation on [0, ∞ ) is considered where f(t, x, z) is monotone in z and this special feature of the equation is used in establishing the existence of ... See full document
20
Existence of global attractor for one dimensional weakly damped nonlinear Schrödinger equation with Dirac interaction and artificial boundary condition in half line
... The remainder of the paper is organized as follows. In Section , we provide some preliminaries and necessary key technical results. Section introduces an autonomous dynamical system in order to study the asymptotic ... See full document
24
Continuous Families of Embedded Solitons in the Third-Order Nonlinear Schrödinger Equation
... of conditions (20), in particular, implies that the “phase speed” v of linear sinusoidal waves is stationary at critical conditions, and hence is equal to the group velocity there. (Note: in this interpretation of phase ... See full document
17
Exponential time differencing schemes for the 3 coupled nonlinear fractional Schrödinger equation
... Two modified exponential time differencing schemes based on the Fourier spectral method are developed to solve the 3-coupled nonlinear fractional Schrödinger equation. We compare the stability of the ... See full document
17
Existence of positive solutions for a critical nonlinear Schrödinger equation with vanishing or coercive potentials
... equivalent equation for Eq. (.) (see Eq. (.) in Section ). This equation has the advantages that its Palais- Smale sequence can be characterized precisely through the concentration-compactness ... See full document
30
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 ... See full document
11
Non polynomial spline method for the time fractional nonlinear Schrödinger equation
... time-fractional Schrödinger equation is a fundamental equation of fractional quantum mechanics which can be obtained from the classical Schrödinger equation by replacing the time ... See full document
15
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 ... See full document
10
Low order nonconforming finite element method for time-dependent nonlinear Schrödinger equation
... the semi-discrete scheme. [13] derived the same results as [12] for NLSE with the conform- ing linear triangular element by establishing the relationship between Ritz projection and the linear interpolation. Whereafter, ... See full document
17
Stability Solution of the Nonlinear Schrödinger Equation
... In this paper we discuss stability theory of the mass critical, mass-supercritical and energy-subcritical of so- lution to the nonlinear Schrödinger equation. In section three we discuss the ... See full document
8
Scattering of the Radial Focusing Mass Supercritical and Energy Subcritical Nonlinear Schrödinger Equation in 3D
... Tao, “Global Existence and Scattering for Rough Solutions of a Nonlinear Schrödinger Equation on R3,” Communications on Pure and Applied Mathematics, Vol.. Keraani, “Blowup Theory for th[r] ... See full document
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