Asymptotic behavior in time of solution to system of cubic nonlinear Schrödinger equations in one space dimension
DOI10.1007/978-981-97-0364-7_5MaRDI QIDQ6617867
Kota Uriya, Jun-Ichi Segata, Satoshi Masaki
Publication date: 11 October 2024
nonlinear Schrödinger equationmatrix representationasymptotic behavior of solutionslong-range scatteringnormalization of systems
Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Scattering theory for PDEs (35P25) Transform methods (e.g., integral transforms) applied to PDEs (35A22) NLS equations (nonlinear Schrödinger equations) (35Q55) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a system of nonlinear Schrödinger equations in 2D.
- Large time asymptotics for a cubic nonlinear Schrödinger system in one space dimension. II
- Remarks on global behavior of solutions to nonlinear Schrödinger equations
- Nonlinear Schrödinger systems in 2d with nondecaying final data
- Long range scattering for nonlinear Schrödinger equations in one space dimension
- Long range scattering for nonlinear Schrödinger and Hartree equations in space dimension \(n\geq{}2\)
- Large time asymptotics of solutions to nonlinear Klein-Gordon systems
- Time decay for nonlinear dissipative Schrödinger equations in optical fields
- A remark on decay rates of solutions for a system of quadratic nonlinear Schrödinger equation in 2D.
- \(\mathbf{L^2}\)-decay rate for the critical nonlinear Schrödinger equation with a small smooth data
- \(L^2\)-decay estimate for the dissipative nonlinear Schrödinger equation in the Gevrey class
- Asymptotic behavior for a class of derivative nonlinear Schrödinger systems
- Small data global existence for a class of quadratic derivative nonlinear Schrödinger systems in two space dimensions
- Dissipative nonlinear Schrödinger equations for large data in one space dimension
- Final state problem for systems of cubic nonlinear Schrödinger equations in one dimension
- On Schrödinger systems with cubic dissipative nonlinearities of derivative type
- A note on decay rates of solutions to a system of cubic nonlinear Schrödinger equations in one space dimension
- Modified Wave Operator for a System of Nonlinear Schrödinger Equations in 2d
- Nonexistence of asymptotically free solutions for a nonlinear Schrödinger equation
- The asymptotic behavior of nonlinear Schrödinger equations
- Asymptotics for large time of solutions to the nonlinear Schrodinger and Hartree equations
- Matter-Wave Solitons in an F=1 Spinor Bose–Einstein Condensate
- Large Time Asymptotics for a Cubic Nonlinear Schrödinger System in One Space Dimension
- On asymptotic behavior of solutions to cubic nonlinear Klein-Gordon systems in one space dimension
- Asymptotic Behavior of Solutions for Schrödinger Equations with Dissipative Nonlinearities
This page was built for publication: Asymptotic behavior in time of solution to system of cubic nonlinear Schrödinger equations in one space dimension