Transformations and Soliton Solutions for a Variable-coefficient Nonlinear Schrödinger Equation in the Dispersion Decreasing Fiber with Symbolic Computation

• Autorzy: Zeng Z.-F. , Liu J.-G. , Jiang Y. , Nie B.

Identyfikatory

DOI

10.3233/FI-2016-1355

• Języki publikacji: EN

Abstrakty

EN

Describing the dispersion decreasing fiber, a variable-coefficient nonlinear Schrödinger equation is hereby under investigation. Three transformations have been obtained from such a equation to the known standard and cylindrical nonlinear Schrödinger equations with the relevant constraints on the variable coefficients presented, which turn out to be more general than those previously published in the literature. Meanwhile, several families of exact dark-soliton-like and bright-soliton-like solutions are constructed. Also, we obtain some similarity solutions, which can be illustrated in terms of the elliptic and the second Painlevé transcendent equations.

Słowa kluczowe

EN

nonlinear Schrödinger equation; similarity solutions; solitonlike solutions; symbolic computation

• Wydawca: IOS Press
• Czasopismo: Fundamenta Informaticae
• Rocznik: 2016
• Tom: Vol. 145, nr 2
• Strony: 207--219
• Opis fizyczny: Bibliogr. 48 poz.

Twórcy

autor

Zeng Z.-F.

• Department of Basic, Jiangxi Vocational and Technical College of Communication, JiangXi 330013, China

autor

Liu J.-G.

• College of Computer, Jiangxi University of Traditional Chinese Medicine, JiangXi 330004, China

autor

Jiang Y.

• ChongQing JianZhu College, ChongQing 400072, China

autor

Nie B.

• College of Computer, Jiangxi University of Traditional Chinese Medicine, JiangXi 330004, China

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.

W oryginale artykułu błędnie podana bibliografia - poz.: 3, 4, 7 zawierają po 2 pozycje.