Ermakov–Ray–Reid systems in nonlinear optics
From MaRDI portal
Publication:3058599
DOI10.1088/1751-8113/43/45/455214zbMath1207.78034OpenAlexW2024561780MaRDI QIDQ3058599
Kwok W. Chow, Boris A. Malomed, Colin Rogers, Hong-Li An
Publication date: 3 December 2010
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1751-8113/43/45/455214
PDEs in connection with optics and electromagnetic theory (35Q60) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60)
Related Items (30)
Multi-component Ermakov and non-autonomous many-body system connections ⋮ On a canonical nine-body problem. Integrable Ermakov decomposition via reciprocal transformations ⋮ A Novel Ermakov-Painlevé II System: N+1-Dimensional Coupled NLS and Elastodynamic Reductions ⋮ On Madelung systems in nonlinear optics: A reciprocal invariance ⋮ On Ermakov-Painlevé II systems. Integrable reduction ⋮ On \(q\)-Gaussian integrable Hamiltonian reductions in anisentropic magneto-gasdynamics ⋮ On mKdV and associated classes of moving boundary problems: reciprocal connections ⋮ The elliptical vortices, integrable Ermakov structure, Schrödinger connection, and Lax pair in the compressible Navier–Stokes equation ⋮ Reciprocal gausson phenomena in a Korteweg capillarity system ⋮ A two-dimensional magnetohydrodynamic system: geometric decomposition and canonical reduction ⋮ On a Novel Resonant Ermakov-NLS System: Painlevé Reduction ⋮ q-Gaussian integrable Hamiltonian reductions in anisentropic gasdynamics ⋮ Ermakov–Ray–Reid Reductions of Variational Approximations in Nonlinear Optics ⋮ On integrable Ermakov-Painlevé IV systems ⋮ On a Boussinesq Capillarity System: Hamiltonian Reductions and Associated Quartic Geometries ⋮ Ermakov-Painlevé II symmetry reduction of a Korteweg capillarity system ⋮ Universal and Integrable Aspects of an Elliptic Vortex Representation in 2+1‐Dimensional Magneto‐Gasdynamics ⋮ On a Coupled Nonlinear Schrödinger System: A Ermakov Connection ⋮ Ermakov-Painlevé II Reduction in Cold Plasma Physics. Application of a Bäcklund Transformation ⋮ On Multi-component Ermakov Systems in a Two-Layer Fluid: Integrable Hamiltonian Structures and Exact Vortex Solutions ⋮ On modulated multi-component NLS systems: Ermakov invariants and integrable symmetry reduction ⋮ Variational contact symmetries of constrained Lagrangians ⋮ Integrable Substructure in a Korteweg Capillarity Model. A Karman-Tsien Type Constitutive Relation ⋮ Hybrid Ermakov-Painlevé IV Systems ⋮ Ermakov-Modulated Nonlinear Schrödinger Models. Integrable Reduction ⋮ On Hybrid Ermakov-Painlevé Systems. Integrable Reduction ⋮ On Modulated NLS-Ermakov Systems ⋮ On a 2+1-Dimensional Whitham-Broer-Kaup System: A Resonant NLS Connection ⋮ Localized and periodic wave patterns for a nonic nonlinear Schrödinger equation ⋮ On Dirichlet two-point boundary value problems for the Ermakov-Painlevé IV equation
This page was built for publication: Ermakov–Ray–Reid systems in nonlinear optics
