A nonlinear superposition principle and Lie group invariance: Application in rotating shallow water theory

DOI10.1016/0020-7462(89)90042-5zbMath0694.76044OpenAlexW1967031197WikidataQ115367897 ScholiaQ115367897MaRDI QIDQ909541

Usha Ramgulam, Colin Rogers

Publication date: 1989

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(89)90042-5

zbMATH Keywords

nonlinear superposition principlegroup analysisvelocity distributionfree surface elevationcircular paraboloidal basinLie group invariance of Pinney's equationmoving shorelinerotating shallow body of water

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) General theory of rotating fluids (76U05) Partial differential equations of mathematical physics and other areas of application (35Q99) Topological and differentiable algebraic systems (22A99)

Related Items (10)

Multi-component Ermakov and non-autonomous many-body system connections ⋮ A Novel Ermakov-Painlevé II System: N+1-Dimensional Coupled NLS and Elastodynamic Reductions ⋮ On modulated coupled systems. Canonical reduction via reciprocal transformations ⋮ Ermakov-Painlevé II symmetry reduction of a Korteweg capillarity system ⋮ On a Coupled Nonlinear Schrödinger System: A Ermakov Connection ⋮ Ermakov-Ray-Reid Systems in (2+1)-Dimensional Rotating Shallow Water Theory ⋮ On modulated multi-component NLS systems: Ermakov invariants and integrable symmetry reduction ⋮ Ermakov-Modulated Nonlinear Schrödinger Models. Integrable Reduction ⋮ On Hybrid Ermakov-Painlevé Systems. Integrable Reduction ⋮ On Modulated NLS-Ermakov Systems

This page was built for publication: A nonlinear superposition principle and Lie group invariance: Application in rotating shallow water theory