Variational Principles and Solitary Wave Solutions of Generalized Nonlinear Schrödinger Equation in the Ocean
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JACM-7-3_031
تاریخ نمایه سازی: 12 مرداد 1400
Abstract:
Internal solitary waves are very common physical phenomena in the ocean, which play an important role in the transport of marine matter, momentum and energy. Because the generalized nonlinear Schrödinger equation can well explain the effects of nonlinearity and dispersion in the ocean, it is more suitable for describing the deep-sea internal wave propagation and evolution than other mathematical models. At first, by designing skillfully the trial-Lagrange functional, different kinds of variational principles are successfully established for a generalized nonlinear Schrödinger equation by the semi-inverse method. Then, the constructed variational principles are proved correct by minimizing the functionals with the calculus of variations. Furthermore, some kinds of internal solitary wave solutions are obtained and demonstrated by semi-inverse variational principle for the generalized nonlinear Schrödinger equation.
Keywords:
Generalized nonlinear Schrödinger equation , semi-inverse method , Variational principle , internal solitary waves
Authors
Meng-Zhu Liu
College of Meteorology and Oceanography, National University of Defense Technology, Changsha ۴۱۰۰۷۳, China
Xiao-Qun Cao
College of Meteorology and Oceanography, National University of Defense Technology, Changsha ۴۱۰۰۷۳, China
Xiao-Qian Zhu
College of Meteorology and Oceanography, National University of Defense Technology, Changsha ۴۱۰۰۷۳, China
Bai-Nian Liu
College of Meteorology and Oceanography, National University of Defense Technology, Changsha ۴۱۰۰۷۳, China
Ke-Cheng Peng
College of Meteorology and Oceanography, National University of Defense Technology, Changsha ۴۱۰۰۷۳, China
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