The degenerate parametric oscillator and Ince's equation
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Publication:3070995
DOI10.1088/1751-8113/44/1/015101zbMath1205.81079arXiv1006.3362OpenAlexW1990315474MaRDI QIDQ3070995
Sergei K. Suslov, Ricardo Cordero-Soto
Publication date: 28 January 2011
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1006.3362
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Solutions to PDEs in closed form (35C05) Green's functions for elliptic equations (35J08)
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The Riccati system and a diffusion-type equation ⋮ Steady-state solutions of the Whittaker-Hill equation of fractional order ⋮ On the problem of electromagnetic-field quantization ⋮ Fractional Ince equation with a Riemann-Liouville fractional derivative ⋮ Blow-up results and soliton solutions for a generalized variable coefficient nonlinear Schrödinger equation ⋮ On integrability of nonautonomous nonlinear Schrödinger equations ⋮ Quasi-coherent states for harmonic oscillator with time-dependent parameters
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