Solitary waves in coupled nonlinear Schrödinger equations with spatially inhomogeneous nonlinearities
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Publication:718301
DOI10.1016/J.CNSNS.2010.02.024zbMath1221.35390arXiv1001.2425OpenAlexW2035754363MaRDI QIDQ718301
Víctor M. Pérez-García, Juan Belmonte-Beitia, Valeriy A. Brazhnyi
Publication date: 23 September 2011
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1001.2425
solitary wavesnonlinear Schrödinger equationsbright and dark solitonsspatially inhomogeneous nonlinearities
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Cites Work
- Unnamed Item
- Exact solutions for the quintic nonlinear Schrödinger equation with inhomogeneous nonlinearity
- Localized and periodic exact solutions to the nonlinear Schrödinger equation with spatially modulated parameters: linear and nonlinear lattices
- The focusing nonlinear Schrödinger equation: Effect of the coupling to a low frequency field
- A Lie symmetry approach to nonlinear Schrödinger's equation with non-Kerr law nonlinearity
- Nonlinear phenomena in degenerate quantum gases
- Localization phenomena in nonlinear Schrödinger equations with spatially inhomogeneous nonlinearities: theory and applications to Bose-Einstein condensates
- Lie symmetries, qualitative analysis and exact solutions of nonlinear Schrödinger equations with inhomogeneous nonlinearities
- To the integrability of the system of two coupled nonlinear Schrödinger equations
- Multidimensional nonlinear integrable systems and methods for constructing their solutions
- Stabilization of solitons of the multidimensional nonlinear Schrödinger equation: matter-wave breathers
- Modulated amplitude waves in collisionally inhomogeneous Bose-Einstein condensates
- Modulational instability, solitons and periodic waves in a model of quantum degenerate Boson-Fermion mixtures
- Nonlinearity management in higher dimensions
- Guided waves in a multi-layered optical structure
- Nonlinear waves in Bose–Einstein condensates: physical relevance and mathematical techniques
- Solitons for the cubic–quintic nonlinear Schrödinger equation with time- and space-modulated coefficients
- An exact invariant for a class of time-dependent anharmonic oscillators with cubic anharmonicity
- Dynamics of periodic multi-component Bose–Einstein condensates
- Symmetries and differential equations
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