On the existence of bright solitons in cubic-quintic nonlinear Schrödinger equation with inhomogeneous nonlinearity

DOI10.1155/2008/935390zbMath1153.81484OpenAlexW2146568849WikidataQ58646297 ScholiaQ58646297MaRDI QIDQ955964

Juan Belmonte-Beitia

Publication date: 24 November 2008

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54981

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Critical phenomena in equilibrium statistical mechanics (82B27) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Bifurcations in context of PDEs (35B32)

Related Items (2)

Exact solutions for the quintic nonlinear Schrödinger equation with time and space modulated nonlinearities and potentials ⋮ Optical solitons with power law nonlinearity using Lie group analysis

Uses Software

• Matlab

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear scalar field equations. II: Existence of infinitely many solutions
• Nonlinear scalar field equations. I: Existence of a ground state
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Perturbation methods and semilinear elliptic problems on \(\mathbb R^n\)
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Lie symmetries, qualitative analysis and exact solutions of nonlinear Schrödinger equations with inhomogeneous nonlinearities
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Infinitely many radial solutions of a semilinear elliptic problem on \(\mathbb{R}^ N\)
• On the existence of a positive solution of semilinear elliptic equations in unbounded domains
• Numerical methods for the simulation of trapped nonlinear Schrödinger systems
• Minimax theorems
• Internal modes of envelope solitons
• Dual variational methods in critical point theory and applications
• Modulated amplitude waves in collisionally inhomogeneous Bose-Einstein condensates
• Bound states of nonlinear Schrödinger equations with a periodic nonlinear microstructure
• Numerical studies of stabilized Townes solitons
• Positive- and negative-mass solitons in Bose-Einstein condensates with optical lattices
• Multi-bump solitons to linearly coupled systems of nonlinear Schrödinger equations
• Soliton Management in Periodic Systems
• Guided waves in a multi-layered optical structure
• The three-dimensional wigner-poisson problem: Existence, uniqueness and approximation
• Spectral Methods in MATLAB
• ASYMPTOTIC BEHAVIOR TO THE 3-D SCHRÖDINGER/HARTREE–POISSON AND WIGNER–POISSON SYSTEMS
• Existence and multiplicity results for some superlinear elliptic problems on R^N
• Self-Focusing in the Perturbed and Unperturbed Nonlinear Schrödinger Equation in Critical Dimension
• Standing waves of some coupled nonlinear Schrödinger equations
• Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity

This page was built for publication: On the existence of bright solitons in cubic-quintic nonlinear Schrödinger equation with inhomogeneous nonlinearity