[PDF] Top 20 Solutions of Schrödinger Equation with Generalized Inverted Hyperbolic Potential
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Solutions of Schrödinger Equation with Generalized Inverted Hyperbolic Potential
... The paper is organized as follows: Section 2 is devoted to the review of the Nikiforov-Uvarov method. In Sec- tion 3 we present the exact solution of the Schrodinger equation. Discussion and results are presented ... See full document
7
Exact and approximate solutions for the fractional Schrödinger equation with variable coefficients
... approximate solutions of the variable-coefficient fractional Schrödinger equation (VFNLS) with time and space fractional ...analytical solutions and their structure of the VFNLS are ... See full document
10
G Function Solutions for Schrödinger Equation in Cylindrical Coordinates System
... the Schrödinger equation is solved by Modified separation of variables (MSV) method suggested by Pishkoo and ...G-function solutions are derived in cylindrical coordinate system for quantum particle ... See full document
5
Martingale solutions for the stochastic nonlinear Schrödinger equation in the energy space
... nonlinear Schrödinger equations are used in the fiber optics, nonlinear photonics and optical wave turbulence, see for instance a recent review paper [51] by Turitsyn et ...nonlinear Schrödinger equations ... See full document
67
Schrödinger Equation with a Cubic Nonlinearity Sech Shaped Soliton Solutions
... as solutions and called spatial and temporal when they are solutions of (1a) or ...nonlinear Schrödinger equations with quasi periodic but no soliton sech-shaped ... See full document
5
Analytic and numerical solutions for systems of fractional Schrödinger equation
... fractional Schrödinger equation, in which the normal Schrödinger equation is generalized in anal- ogy with fractional ...this equation in the case of the one-dimensional infinite ... See full document
11
Bound State Solutions of the Schrödinger Equation for the More General Exponential Screened Coulomb Potential Plus Yukawa (MGESCY) Potential Using Nikiforov Uvarov Method
... of potential such as, Poschl-Teller potential [34], Rosen-Morse [16] and many more by applying different ...or potential barrier arising from the problem of ...Schrodinger equation for the ... See full document
22
Solutions of the Schrödinger equation in a Hilbert space
... the Schrödinger equation with a constant unbounded operator in the linear part and obtain all its solutions by using the generalized Green operator of this problem constructed in this ...Pol ... See full document
9
Energy solutions and concentration problem of fractional Schrödinger equation
... In this paper, we consider a fractional Schrödinger equation with steep potential well and sublinear perturbation. By virtue of variational methods, the existence criteria of infinitely many ... See full document
18
Infinitely many solutions for fractional Schrödinger equation with potential vanishing at infinity
... nonlinear Schrödinger equation (1.3), but for fractional Schrödinger equation of the form ...the potential function V (x) van- ishes at ...fractional Schrödinger equation ... See full document
15
Generalized Darboux Transformation and Rational Solutions for the Nonlocal Nonlinear Schrödinger Equation with the Self Induced Parity Time Symmetric Potential
... nonlinear Schrödinger equation with the self-induced parity-time- symmetric ...for Equation (1) and derived the N-fold rational solutions in determinant ...rational solutions from a ... See full document
7
Fixed point theorems for solutions of the stationary Schrödinger equation on cones
... for solutions of the stationary Schrödinger equation on ...for solutions of the Dirichlet problem with respect to the Schrödinger operator on cones and the growth property of ... See full document
11
Infinitely many weak solutions for a fractional Schrödinger equation
... fractional Schrödinger equation (– ) α u + V(x)u = f (x,u), x ∈ R N , where 0 < α < 1, N > 2 α , (– ) α stands for the fractional Laplacian of order α , V is a positive continuous potential, ... See full document
14
Ground state solutions for fractional Schrödinger equation with variable potential and Berestycki–Lions type nonlinearity
... external potential appears in many models in mathematical physics, especially in the study of particles on stochastic fields modeled by Lévy processes, see ... See full document
24
The Interaction and Degeneracy of Mixed Solutions for Derivative Nonlinear Schrödinger Equation
... DNLS equation is used to describe the evolution of small but finite amplitude Alfvén waves that propagate quasi-parallel to the magnetic field [1] [2] and large-amplitude magnetohydrodynamic waves in plasmas [3] ... See full document
8
Exact spatiotemporal soliton solutions to the generalized three dimensional nonlinear Schrödinger equation in optical fiber communication
... differential equation with variable coefficients into a family of first-order ordinary differential ...wave solutions are derived and some examples, which demonstrate the propagation characteristics of the ... See full document
13
Least energy solutions for a quasilinear Schrödinger equation with potential well
... given potential, k is a real constant and f , h are real ...film equation in plasma physics by Kurihara [] (see also []); in the case of h(s) = ( + s) , ... See full document
17
On the collapse of trial solutions for a damped driven nonlinear Schrödinger equation
... Under the conditions of Proposition 2.1 or Theorem 2.3 which are NOT covered by Proposition 2.5, we have not been able to construct a Lyapunov function using the method in [5], mainly because of our system’s singular ... See full document
28
Nonexistence of stable solutions for quasilinear Schrödinger equation
... which models the self-channeling of a high-power ultrashort laser in matter, see [2, 10]. The existence of positive solutions for (1.5) has been extensively studied recently. In [23], the authors proved that (1.5) ... See full document
11
Analysis of the Solitary Wave Solution based on the Jacobi Elliptic Functions
... second one was that the solutions of the nonlinear Schrödinger equations could be obtained by trial method. The two coupled equations could be got when the real part was zero and the imaginary part was ... See full document
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