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- W1983678149 abstract "Cubic nonlinear Schr?dinger type equation with specific initial-boundary conditions in the infinite domain is considered. The equation is reduced to an equivalent system of partial differential equations and studied in the case of solitary waves. The system is modified by introducing new functions, one of which belongs to the class of functions of negligible fifth order and vanishing at infinity exponentially. For this class of functions the system is reduced to a nonlinear elliptic equation which can be solved analytically, thereby allowing us to present nontrivial approximated solutions of nonlinear Schr?dinger equation. These solutions describe a new class of symmetric solitary waves. Graphics of modulus of the corresponding wave function are constructed by using Maple." @default.
- W1983678149 created "2016-06-24" @default.
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- W1983678149 date "2014-03-05" @default.
- W1983678149 modified "2023-09-24" @default.
- W1983678149 title "On effective solutions of the nonlinear Schrödinger equation" @default.
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- W1983678149 doi "https://doi.org/10.1088/1742-6596/482/1/012020" @default.
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