Discrete spectrum of \(2 + 1\)-dimensional nonlinear Schrödinger equation and dynamics of lumps
From MaRDI portal
Publication:504748
DOI10.1155/2016/8620473zbMath1372.35209OpenAlexW2540862038WikidataQ59122573 ScholiaQ59122573MaRDI QIDQ504748
Julia Prada, Javier Villarroel, Pilar G. Estevez
Publication date: 17 January 2017
Published in: Advances in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2016/8620473
Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Schrödinger operator, Schrödinger equation (35J10) (n)-body problems (70F10)
Related Items
Lump-soliton solutions to the Fokas system, Dynamics of rogue lumps on a background of two-dimensional homoclinic orbits in the Fokas system, Doubly localized rogue waves on a background of dark solitons for the Fokas system
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the integrability of equations of Davey-Stewartson type
- Inverse scattering transform method and soliton solutions for Davey- Stewartson II equation
- The structure of the rational solutions to the Boussinesq equation
- A novel class of solutions of the non-stationary Schrödinger and the Kadomtsev-Petviashvili I equations
- Solutions of the Davey-Stewartson II equation with arbitrary rational localization and nontrivial interaction
- On the discrete spectrum of the nonstationary Schrödinger equation and multipole lumps of the Kadomtsev-Petviashvili I equation
- Considerations on conserved quantities and boundary conditions of the \(2 + 1\)-dimensional nonlinear Schrödinger equation
- On the inverse scattering transform of the 2+1 Toda equation
- Exotic coherent structures in the (2+1) dimensional long dispersive wave equation
- On the Inverse Scattering of the Time-Dependent Schrödinger Equation and the Associated Kadomtsev-Petviashvili (I) Equation
- Dynamics of Lump Solutions in a 2 + 1 NLS Equation
- The structures and interactions of solitary waves in the (2 + 1)-dimensional nonlinear Schrödinger equation
- Soliton solutions of the Kadomtsev-Petviashvili II equation
- Soliton Solutions of the KP Equation and Application to Shallow Water Waves
- Spectral transform for a two spatial dimension extension of the dispersive long wave equation
- Miura transformation between two non-linear equations in 2+1 dimensions
- Solutions of the KPI equation with smooth initial data
- Painlevé analysis of new higher-dimensional soliton equation
- On the Discrete Spectrum of Systems in the Plane and the Davey--Stewartson II Equation
- Solutions to the Time Dependent Schrödinger and the Kadomtsev-Petviashvili Equations
- On the initial value problem for the KPII equation with data that do not decay along a line
- Darboux transformation and solutions for an equation in 2+1 dimensions
- Inverse scattering theory of the heat equation for a perturbed one-soliton potential
- Some reductions of the self-dual Yang–Mills equations to integrable systems in 2+1 dimensions
- On an algorithmic construction of lump solutions in a 2+1 integrable equation
- Interaction of lumps with a line soliton for the DSII equation