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• W2920596471 abstract "In this paper the one-dimensional nonparaxial nonlinear Schrödinger equation is considered. This was proposed as an alternative to the classical nonlinear Schrödinger equation in those situations where the assumption of paraxiality may fail. The paper contributes to the mathematical properties of the equation in a two-fold way. First, some theoretical results on linear well-posedness, Hamiltonian and multi-symplectic formulations are derived. Then we propose to take into account these properties in order to deal with the numerical approximation. In this sense, different numerical procedures that preserve the Hamiltonian and multi-symplectic structures are discussed and illustrated with numerical experiments." @default.
• W2920596471 created "2019-03-11" @default.
• W2920596471 creator A5046552014 @default.
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• W2920596471 date "2020-08-01" @default.
• W2920596471 modified "2023-10-16" @default.
• W2920596471 title "On nonparaxial nonlinear Schrödinger-type equations" @default.
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• W2920596471 doi "https://doi.org/10.1016/j.cam.2019.02.029" @default.
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