A Novel Ermakov-Painlevé II System: N+1-Dimensional Coupled NLS and Elastodynamic Reductions
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Publication:2925246
DOI10.1111/sapm.12039zbMath1297.35235OpenAlexW1537823678MaRDI QIDQ2925246
Publication date: 21 October 2014
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1111/sapm.12039
KdV equations (Korteweg-de Vries equations) (35Q53) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (11)
On Ermakov-Painlevé II systems. Integrable reduction ⋮ Schwarzian derivative, Painlevé XXV–Ermakov equation, and Bäcklund transformations ⋮ On modulated coupled systems. Canonical reduction via reciprocal transformations ⋮ On a Novel Resonant Ermakov-NLS System: Painlevé Reduction ⋮ On integrable Ermakov-Painlevé IV systems ⋮ On a Ermakov-Painlevé II reduction in three-ion electrodiffusion. A Dirichlet boundary value problem ⋮ Ermakov-Painlevé II Reduction in Cold Plasma Physics. Application of a Bäcklund Transformation ⋮ On modulated multi-component NLS systems: Ermakov invariants and integrable symmetry reduction ⋮ Hybrid Ermakov-Painlevé IV Systems ⋮ On Hybrid Ermakov-Painlevé Systems. Integrable Reduction ⋮ On Modulated NLS-Ermakov Systems
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