Ermakov-Modulated Nonlinear Schrödinger Models. Integrable Reduction
From MaRDI portal
Publication:5231016
DOI10.1080/14029251.2016.1135645zbMath1420.34064OpenAlexW2232279867MaRDI QIDQ5231016
Luigi Vergori, Giuseppe Saccomandi, Colin Rogers
Publication date: 29 August 2019
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/14029251.2016.1135645
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (5)
On Ermakov-Painlevé II systems. Integrable reduction ⋮ On modulated coupled systems. Canonical reduction via reciprocal transformations ⋮ On modulated multi-component NLS systems: Ermakov invariants and integrable symmetry reduction ⋮ On Hybrid Ermakov-Painlevé Systems. Integrable Reduction ⋮ On Modulated NLS-Ermakov Systems
Cites Work
- Unnamed Item
- A nonlinear superposition principle and Lie group invariance: Application in rotating shallow water theory
- Antiplane crack problems for an inhomogeneous elastic material
- Radial propagation of axial shear waves in an incompressible elastic material under finite deformation
- Transient displacement and stress in non-homogeneous elastic shells
- Cylindrical impact waves in inhomogeneous viscoelastic media
- Some results on finite amplitude elastic waves propagating in rotating media
- Multi-component Ermakov systems: Structure and linearization
- Localized and periodic wave patterns for a nonic nonlinear Schrödinger equation
- Nonlinear elastodynamics of materials with strong ellipticity condition: Carroll-type solutions
- Transverse waves in nonlinearly elastic solids and the Milne—Pinney (or Ermakov) equation
- The pulsrodon in 2+1-dimensional magneto-gasdynamics: Hamiltonian structure and integrability
- Invariants in a resonant derivative nonlinear Schrödinger model
- Slight compressibility and sensitivity to changes in Poisson's ratio
- Ermakov-Ray-Reid Systems in (2+1)-Dimensional Rotating Shallow Water Theory
- Ermakov–Ray–Reid systems in nonlinear optics
- Soliton Management in Periodic Systems
- On the integrability of a Hamiltonian reduction of a 2+1-dimensional non-isothermal rotating gas cloud system
- Bergman’s integral operator method in inhomogeneous elasticity
- Large amplitude waves in bounded media I. Reflexion and transmission of large amplitude shockless pulses at an interface
- Ermakov systems, nonlinear superposition, and solutions of nonlinear equations of motion
- On The Bergman Operator Method and Anti-Plane Contact Problems Involving an Inhomogeneous Half-Space
- Ermakov systems of arbitrary order and dimension: structure and linearization
- On (2+1)-dimensional Ermakov systems
- Gaussons: Solitons of the Logarithmic Schrödinger Equation
- Ermakov–Ray–Reid Reductions of Variational Approximations in Nonlinear Optics
- Universal and Integrable Aspects of an Elliptic Vortex Representation in 2+1‐Dimensional Magneto‐Gasdynamics
- On a (2+1)-dimensional Madelung system with logarithmic and with Bohm quantum potentials: Ermakov reduction
- The nonlinear differential equation 𝑦”+𝑝(𝑥)𝑦+𝑐𝑦⁻³=0
This page was built for publication: Ermakov-Modulated Nonlinear Schrödinger Models. Integrable Reduction
