On multi-solitons for coupled lowest Landau level equations
DOI10.3934/dcds.2022081zbMath1497.35442arXiv2111.05035OpenAlexW3211455286MaRDI QIDQ2171893
Publication date: 12 September 2022
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.05035
nonlinear Schrödinger equationstationary solutionslowest Landau levelgrowth of Sobolev normsmulti-solitonsprogressive waves
NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Traveling wave solutions (35C07) Soliton solutions (35C08) Entire solutions to PDEs (35B08) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)
Related Items (1)
Cites Work
- Unnamed Item
- Multi-speed solitary waves of nonlinear Schrödinger systems: theoretical and numerical analysis
- On the continuous resonant equation for NLS. II: Statistical study
- Construction of multi-soliton solutions for the \(L^2\)-supercritical gKdV and NLS equations
- Lowest Landau level functional and Bargmann spaces for Bose-Einstein condensates
- Multi solitary waves for nonlinear Schrödinger equations
- On the continuous resonant equation for NLS. I: Deterministic analysis.
- Some integral identities and inequalities for entire functions and their application to the coherent state transform
- Universal dynamics for the defocusing logarithmic Schrödinger equation
- On the cubic lowest Landau level equation
- Growth of Sobolev norms for coupled lowest Landau level equations
- Growth of Sobolev norms for linear Schrödinger operators
- The focusing logarithmic Schrödinger equation: analysis of breathers and nonlinear superposition
- Time-periodic quantum states of weakly interacting bosons in a harmonic trap
- High-speed excited multi-solitons in nonlinear Schrödinger equations
- Existence of multi-solitons for the focusing logarithmic non-linear Schrödinger equation
- Analysis on Fock Spaces
- Two-soliton solutions to the three-dimensional gravitational Hartree equation
- BOSE–EINSTEIN CONDENSATES IN THE LOWEST LANDAU LEVEL: HAMILTONIAN DYNAMICS
- Finite and infinite soliton and kink-soliton trains of nonlinear Schr\"odinger equations
- INTERACTION OF SOLITONS FROM THE PDE POINT OF VIEW
- Multi-speed solitary wave solutions for nonlinear Schrödinger systems
- The weakly nonlinear large-box limit of the 2D cubic nonlinear Schrödinger equation
This page was built for publication: On multi-solitons for coupled lowest Landau level equations
