Search
Search Results
-
Random numerical stability of attractors for nonlinear Schrodinger equations on infinite lattices
We study both numerical and random approximations of the global attractor for the nonlinear Schrodinger lattice equation. First, for a discrete-time...
-
Ground state solution for a critical Schrodinger equation involving the p-Laplacian operator and potential term
In this article, our aim is to establish a generalized version of Berestycki–Lions theorem about the p-Laplacian operator. As an application of this...
-
Electronic spectrum of linear Schrodinger equations by Sinc-Galerkin and Sinc-Collocation methods
The Sinc-Galerkin and Sinc-Collocation methods are presented to solve linear Schrodinger equation and obtain the electronic spectrum of linear...
-
Numerical solutions of two-dimensional fractional Schrodinger equation
In this article, the authors proposed Chebyshev pseudospectral method for numerical solutions of two-dimensional nonlinear Schrodinger equation with...
-
Explicit Solutions of the Nonlinear Schrödinger-Type Equation
In this work, we focus on the construction of explicit solutions of the nonlinear Schrödinger-type equation, which has various applications in...
-
Analytic Solution of the Fractional Order Non-linear Schrödinger Equation and the Fractional Order Klein Gordon Equation
Solutions of the space–time fractional order non-linear Schrödinger equation and nonlinear Klein Gordon equation have been found here using...
-
Dimensions of Solution Spaces of the Schrodinger Equation with Finite Dirichlet Integral on Non-compact Riemannian Manifolds
Exact estimations of dimensions of spaces of bounded solutions of stationary Schrodinger equation with finite Dirichlet integral in terms of massive...
-
Integration of a Nonlinear Hirota Type Equation with Finite Density in the Class of Periodic Functions
AbstractIn this paper, the inverse spectral problem method is used to integrate a nonlinear Hirota-type equation with a finite density in the class...
-
Construction of the Optical Soliton Solutions for Fokas–Lenells Equation by Unified Solver Method
Nonlinear Schrödinger’s equation (NLSE) and its variant forms assume noteworthy applications in soliton theory. The Fokas–Lenells equation (FLE) is...
-
Numerical solution of one-dimensional nonlinear Sine–Gordon equation using LOOCV with exponential B-spline
In this paper, the one-dimensional nonlinear Sine–Gordon equation is solved using the “Exponential modified cubic B-spline differential quadrature...
-
New Exact Wave Solutions on the Complex Ginzburg–Landau Equation with Extended Rational Sin–Cos and Sinh–Cosh Method
In this paper, a new complex waves representing solutions of the complex Ginzburg–Landau equation with Kerr law nonlinearity is investigated. we used...
-
Dispersive propagation of optical solitions and solitary wave solutions of Kundu-Eckhaus dynamical equation via modified mathematical method
In this research work, we constructed the optical soliton solutions of nonlinear complex Kundu-Eckhaus (KE) equation with the help of modified...
-
Propagation of traveling wave solutions to the Vakhnenko-Parkes dynamical equation via modified mathematical methods
In this paper, we investigate some new traveling wave solutions to Vakhnenko-Parkes equation via three modified mathematical methods. The derived...
-
A space–time DG method for the Schrödinger equation with variable potential
We present a space–time ultra-weak discontinuous Galerkin discretization of the linear Schrödinger equation with variable potential. The proposed...
-
Numerical Investigation using Fibonacci Wavelet Collocation Method for Solving Modified Unstable Nonlinear Schrödinger Equation
In this work, we used the backward Euler difference formula with the Fibonacci wavelets collocation method to find approximate solutions to the...
-
Local Bifurcations of Periodic Traveling Waves in the Generalized Weakly Dissipative Ginzburg-Landau Equation
InKulikov, A. Kulikov, D. this paper we consider a periodic boundary value problem for the generalized Ginzburg-Landau. The generalized version of...