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论文类型：期刊论文

发表时间：2018-12-01

发表刊物：COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION

收录刊物：SCIE、Scopus

卷号：65

页面范围：161-172

ISSN号：1007-5704

关键字：W1+infinity 3-algebra; The higher-order nonlinear Schrodinger; equation; Optical fiber

摘要：In terms of W1+infinity 3-algebra, the generalized Nambu-Poisson evolution equations involving two Hamiltonians are constructed. Given the different Hamiltonian pairs, the higher-order nonlinear Schrodinger equations are obtained. Meanwhile, on the basis of the Maxwell equations, the higher-order nonlinear Schrodinger equations in optical fiber are derived in detail. Furthermore, the relations between the higher-order nonlinear Schrodinger equations in optical fiber and the higher-order nonlinear Schrodinger equations based on the W1+infinity 3-algebra are investigated. The bright soliton, dark soliton and the periodic traveling wave solutions of the higher-order nonlinear Schrodinger equation based on the W1+infinity 3-algebra are also derived. (C) 2018 Elsevier B.V. All rights reserved.