On Multi-component Ermakov Systems in a Two-Layer Fluid: Integrable Hamiltonian Structures and Exact Vortex Solutions
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Publication:2793207
DOI10.1111/sapm.12097zbMath1332.35279OpenAlexW2237432484MaRDI QIDQ2793207
Haixing Zhu, Man Kam Kwong, Hong-Li An
Publication date: 15 March 2016
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1111/sapm.12097
PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) NLS equations (nonlinear Schrödinger equations) (35Q55) Meteorology and atmospheric physics (86A10)
Related Items (3)
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 ⋮ Lie symmetry analysis, conservation laws and solitary wave solutions to a fourth-order nonlinear generalized Boussinesq water wave equation
Cites Work
- Riccati and Ermakov equations in time-dependent and time-independent quantum systems
- Recent applications of the theory of Lie systems in Ermakov systems
- Projective lifts and generalized Ermakov and Bernoulli systems
- Pattern formation on the interface of a two-layer fluid: bi-viscous lower layer
- Multi-component Ermakov systems: Structure and linearization
- Invariants of Multi-Component Ermakov Systems
- Ermakov–Ray–Reid systems in nonlinear optics
- On the integrability of a Hamiltonian reduction of a 2+1-dimensional non-isothermal rotating gas cloud system
- On multi-component Ermakov systems in a two-layer fluid: a variational approach
- Few sketches on connections between the Riccati and Ermakov–Milne–Pinney equations
- Ermakov systems, nonlinear superposition, and solutions of nonlinear equations of motion
- Exact solution to finite amplitude oscillation of an anisotropic thin rubber tube
- Ermakov systems of arbitrary order and dimension: structure and linearization
- Atmospheric and Oceanic Fluid Dynamics
- On the Number of Conserved Quantities for the Two-Layer Shallow-Water Equations
- Integrability of generalized Ermakov systems
- Ermakov–Ray–Reid Reductions of Variational Approximations in Nonlinear Optics
- On a (2+1)-dimensional Madelung system with logarithmic and with Bohm quantum potentials: Ermakov reduction
- The nonlinear differential equation 𝑦”+𝑝(𝑥)𝑦+𝑐𝑦⁻³=0
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