Soliton resonances in a generalized nonlinear Schrödinger equation
From MaRDI portal
Publication:3544831
DOI10.1088/1751-8113/41/45/452001zbMath1157.35106OpenAlexW1996999902MaRDI QIDQ3544831
Jyh-Hao Lee, Oktay K. Pashaev, Colin Rogers
Publication date: 8 December 2008
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/11147/2142
Transform methods (e.g., integral transforms) applied to PDEs (35A22) NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Soliton equations (35Q51)
Related Items (24)
Nonautonomous solitons and interactions for a variable-coefficient resonant nonlinear Schrödinger equation ⋮ On the Lagrangian version of the Korteweg capillarity system: integrability aspects ⋮ 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 ⋮ Envelope soliton resonances and Broer-Kaup-type non-Madelung fluids ⋮ The Korteweg capillarity system. Integrable reduction via gauge and reciprocal links ⋮ Reciprocal gausson phenomena in a Korteweg capillarity system ⋮ The affective factors on the uncertainty in the collisions of the soliton solutions of the double field sine-Gordon system ⋮ On modulated coupled systems. Canonical reduction via reciprocal transformations ⋮ Chiral resonant solitons in Chern-Simons theory and Broer-Kaup type new hydrodynamic systems ⋮ On a Novel Resonant Ermakov-NLS System: Painlevé Reduction ⋮ Stability catalyzer for a relativistic non-topological soliton solution ⋮ q-Gaussian integrable Hamiltonian reductions in anisentropic gasdynamics ⋮ Soliton fusion and fission in a generalized variable-coefficient fifth-order Korteweg-de Vries equation in fluids ⋮ On integrable Ermakov-Painlevé IV systems ⋮ Ermakov-Painlevé II symmetry reduction of a Korteweg capillarity system ⋮ Ermakov-Painlevé II Reduction in Cold Plasma Physics. Application of a Bäcklund Transformation ⋮ Ermakov-Ray-Reid Systems in (2+1)-Dimensional Rotating Shallow Water Theory ⋮ On modulated multi-component NLS systems: Ermakov invariants and integrable symmetry reduction ⋮ Hybrid Ermakov-Painlevé IV Systems ⋮ Painlevé analysis and exact solutions of the resonant Davey-Stewartson system ⋮ On a 2+1-Dimensional Whitham-Broer-Kaup System: A Resonant NLS Connection ⋮ Exploring a cold plasma-2d black hole connection
This page was built for publication: Soliton resonances in a generalized nonlinear Schrödinger equation