On a Coupled Nonlinear Schrödinger System: A Ermakov Connection
From MaRDI portal
Publication:5418921
DOI10.1111/sapm.12027zbMath1288.35436OpenAlexW1504338299MaRDI QIDQ5418921
Publication date: 30 May 2014
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1111/sapm.12027
PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Nonlinear elasticity (74B20) Nonlinear waves in solid mechanics (74J30) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items
On the mathematical and geometrical structure of the determining equations for shear waves in nonlinear isotropic incompressible elastodynamics, A Novel Ermakov-Painlevé II System: N+1-Dimensional Coupled NLS and Elastodynamic Reductions, On Dirichlet two-point boundary value problems for the Ermakov-Painlevé IV equation
Cites Work
- A nonlinear superposition principle and Lie group invariance: Application in rotating shallow water theory
- A higher-order model for transverse waves in a generalized elastic solid.
- Some results on finite amplitude elastic waves propagating in rotating media
- Multi-component Ermakov systems: Structure and linearization
- 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
- Ermakov–Ray–Reid systems in nonlinear optics
- Generalised Thermostatistics
- On the integrability of a Hamiltonian reduction of a 2+1-dimensional non-isothermal rotating gas cloud system
- Quasi-periodic solutions of the coupled nonlinear Schrödinger equations
- Introduction to Nonextensive Statistical Mechanics
- Ermakov systems, nonlinear superposition, and solutions of nonlinear equations of motion
- Ermakov systems of arbitrary order and dimension: structure and linearization
- On (2+1)-dimensional Ermakov systems
- 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
