Multi-symplectic simulation on soliton-collision for nonlinear perturbed Schrödinger equation
From MaRDI portal
Publication:6140478
DOI10.1007/s44198-023-00137-1zbMath1529.37048MaRDI QIDQ6140478
No author found.
Publication date: 22 January 2024
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Hamiltonian functionsoliton collisionmulti-symplectic methodnonlinear perturbed Schrödinger equation
NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Soliton solutions (35C08)
Cites Work
- Unnamed Item
- Unnamed Item
- A semi-explicit multi-symplectic splitting scheme for a 3-coupled nonlinear Schrödinger equation
- One-dimensional quasi-exactly solvable Schrödinger equations
- Two soliton collision for nonlinear Schrödinger equations in dimension 1
- Multi-symplectic splitting method for the coupled nonlinear Schrödinger equation
- To the integrability of the system of two coupled nonlinear Schrödinger equations
- Soliton-defect collisions in the nonlinear Schrödinger equation
- Almost structure-preserving analysis for weakly linear damping nonlinear Schrödinger equation with periodic perturbation
- DMLPG method for numerical simulation of soliton collisions in multi-dimensional coupled damped nonlinear Schrödinger system which arises from Bose-Einstein condensates
- Symmetry breaking of infinite-dimensional dynamic system
- Vibration and elastic wave propagation in spatial flexible damping panel attached to four special springs
- Generalized multi-symplectic integrators for a class of Hamiltonian nonlinear wave PDEs
- Phase shift, oscillation and collision of the anti-dark solitons for the \((3+1)\)-dimensional coupled nonlinear Schrödinger equation in an optical fiber communication system
- Dark solitonic excitations and collisions from a fourth-order dispersive nonlinear Schrödinger model for the alpha helical protein
- Soliton collision in a general coupled nonlinear Schrödinger system via symbolic computation
- Numerical analysis of a multi-symplectic scheme for a strongly coupled Schrödinger system
- A “Schrödinger Cat” Superposition State of an Atom
- Multi-symplectic integration of coupled non-linear Schrödinger system with soliton solutions
- Multi-symplectic structures and wave propagation
- Soliton solutions to the gauged nonlinear Schrödinger equation on the plane
- Bilinearization of Coupled Nonlinear Schrödinger Type Equations: Integrabilty and Solitons
- Weak multi-symplectic reformulation and geometric numerical integration for the nonlinear Schrödinger equations with delta potentials
- Novel Multi-symplectic Integrators for Nonlinear Fourth-order Schrödinger Equation with Trapped Term
- Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity
- Multi-symplectic spectral discretizations for the Zakharov-Kuznetsov and shallow water equations
- Multi-symplectic simulations of W/M-shape-peaks solitons and cuspons for FORQ equation
- Inverse scattering transform for nonlinear Schrödinger systems on a nontrivial background: a survey of classical results, new developments and future directions