A semiclassical approximation for the nonstationary two-dimensional nonlinear Schrödinger equation with an external field in polar coordinates
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Publication:2458184
DOI10.1007/s11182-006-0169-7zbMath1127.81012OpenAlexW2090458288MaRDI QIDQ2458184
A. Yu. Trifonov, A. V. Borisov, Alexander Shapovalov
Publication date: 31 October 2007
Published in: Russian Physics Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11182-006-0169-7
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)
Cites Work
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- The trajectory-coherent approximation and the system of moments for the Hartree type equation
- Nonlinear Dynamics of Deep-Water Gravity Waves
- Semiclassical Solutions of the Nonlinear Schrödinger Equation
- The evolution operator of the Hartree-type equation with a quadratic potential
- Subcritical localization in the discrete nonlinear Schrodinger equation with arbitrary power nonlinearity