Classification and simulation of chaotic behaviour of the solutions of a mixed nonlinear Schrödinger system
DOI10.3934/era.2021002zbMath1477.35201OpenAlexW3118499960MaRDI QIDQ2046911
Anouar Ben Mabrouk, Abdulrahman Aljohani, Riadh Chteoui
Publication date: 19 August 2021
Published in: Electronic Research Archive (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/era.2021002
Variational methods for elliptic systems (35J50) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Unnamed Item
- Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
- Multi solitary waves for nonlinear Schrödinger equations
- Nodal solutions for some nonlinear elliptic equations
- Finite difference approximate solutions for a mixed sub-superlinear equation
- Construction of solutions with exactly k blow-up points for the Schrödinger equation with critical nonlinearity
- Existence of solitary waves in higher dimensions
- Classification of positive solutions of quasilinear elliptic equations
- Uniqueness of positive radial solutions of the Dirichlet problems \(-\Delta u=u^ p\pm u^ q\) in an annulus
- Classification of the solutions of semilinear elliptic problems in a ball
- Nodal solutions for a sublinear elliptic equation
- Study of an elliptic equation with a singular potential
- Necessary and sufficient conditions of existence for a system involving the \(p\)-Laplacian (\(1 < p < N\))
- Lyapunov type operators for numerical solutions of PDEs
- A linearized finite-difference method for the solution of some mixed concave and convex non-linear problems
- On the blow up phenomenon of the critical nonlinear Schrödinger equation
- Phase plane analysis and classification of solutions of a mixed sublinear-superlinear elliptic problem
- Numerical solution to coupled nonlinear Schrödinger equations on unbounded domains
- A note on coupled focusing nonlinear Schrödinger equations
- Nonradial Solutions of a Mixed Concave-convex Elliptic Problem
- Interactions of bright solitons for the (2+1)-dimensional coupled nonlinear Schrödinger equations from optical fibres with symbolic computation
- Existence and Properties of Radial Solutions of a Sub-linear Elliptic Equation
- Coupled Nonlinear Schrödinger Equation: Symmetries and Exact Solutions
- Fourth-order nonlinear evolution equation for two Stokes wave trains in deep water
- SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS
- Structure of Radial Solutions to $\Delta u + K(|x|)|u|^{p - 1} u = 0$ in ${\bf R}^n $
This page was built for publication: Classification and simulation of chaotic behaviour of the solutions of a mixed nonlinear Schrödinger system
