Add to ORKGThis paper numerically investigates the space-localized spherically symmetric, stationary, and singularity-free solutions of the Nonlinear Schrödinger equation when the nonlinearity is a step function. Previously no-node solutions have been obtained analytically. Here, it is shown that localized stationary solutions with one node and two nodes also exist. I. INTRODUCTION In the case when G is a step function, only no-node space-localized solutions were obtained analytically. Using numerical calculations I have found one-node and two-node space-localized solutions. This i
Radially symmetric solutions of many important systems of partial differential equations can be redu...
On a bounded domain of $IR^N$, we are interested in the nonlinear Schrödinger problem $-Delta u + V(...
This volume presents recent progress in the theory of nonlinear dispersive equations, primarily the ...
The main goal of this paper is to study the nature of the support of the solution of suitable nonlin...
The main goal of this paper is to study the nature of the support of the solution of suitable nonlin...
The main goal of this paper is to study the nature of the support of the solution of suitable nonlin...
33 pages, 4 figuresInternational audienceThe main goal of this paper is to study the nature of the s...
33 pages, 4 figuresInternational audienceThe main goal of this paper is to study the nature of the s...
The Schrödinger equation, an equation central to quantum mechanics, is a dispersive equation which m...
We prove some existence (and sometimes also uniqueness) of solutions to some stationary equations as...
We prove some existence (and sometimes also uniqueness) of weak solutions to some stationary equatio...
We demonstrate the systematic derivation of a class of discretizations of nonlinear Schrödinger (NLS...
The persistence of stationary and travelling single-humped localized solutions in the spatial discre...
Radially symmetric solutions of many important systems of partial differential equations can be redu...
Radially symmetric solutions of many important systems of partial differential equations can be redu...
Radially symmetric solutions of many important systems of partial differential equations can be redu...
On a bounded domain of $IR^N$, we are interested in the nonlinear Schrödinger problem $-Delta u + V(...
This volume presents recent progress in the theory of nonlinear dispersive equations, primarily the ...
The main goal of this paper is to study the nature of the support of the solution of suitable nonlin...
The main goal of this paper is to study the nature of the support of the solution of suitable nonlin...
The main goal of this paper is to study the nature of the support of the solution of suitable nonlin...
33 pages, 4 figuresInternational audienceThe main goal of this paper is to study the nature of the s...
33 pages, 4 figuresInternational audienceThe main goal of this paper is to study the nature of the s...
The Schrödinger equation, an equation central to quantum mechanics, is a dispersive equation which m...
We prove some existence (and sometimes also uniqueness) of solutions to some stationary equations as...
We prove some existence (and sometimes also uniqueness) of weak solutions to some stationary equatio...
We demonstrate the systematic derivation of a class of discretizations of nonlinear Schrödinger (NLS...
The persistence of stationary and travelling single-humped localized solutions in the spatial discre...
Radially symmetric solutions of many important systems of partial differential equations can be redu...
Radially symmetric solutions of many important systems of partial differential equations can be redu...
Radially symmetric solutions of many important systems of partial differential equations can be redu...
On a bounded domain of $IR^N$, we are interested in the nonlinear Schrödinger problem $-Delta u + V(...
This volume presents recent progress in the theory of nonlinear dispersive equations, primarily the ...