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- W2239604559 abstract "Two new integrable nonlocal Davey–Stewartson equations are introduced. These equations provide two-spatial dimensional analogues of the integrable, nonlocal nonlinear Schrö-dinger equation introduced in Ablowitz and Musslimani (2013 Phys. Rev. Lett. 110 064105). Furthermore, like the latter equation, they also possess a PT symmetry and, as it is well known, this symmetry is important for the occurence of such equations in nonlinear optics. A method for solving the initial value problem of these integrable equations is discussed. It is shown that the technique used for constructing these novel integrable equations has general validity; as an illustrative example, an additional two-dimensional integrable generalization of the nonlocal nonlinear Schrödinger is also presented." @default.
- W2239604559 created "2016-06-24" @default.
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- W2239604559 date "2016-01-15" @default.
- W2239604559 modified "2023-10-04" @default.
- W2239604559 title "Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation" @default.
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- W2239604559 doi "https://doi.org/10.1088/0951-7715/29/2/319" @default.
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