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Variational Principles and Solitary Wave Solutions of Generalized ‎Nonlinear Schrödinger Equation in the Ocean

Publish place: Journal of Applied and Computational Mechanics، Vol: 7، Issue: 3
Publish Year: 1400
Type: Journal paper
Language: English
View: 188

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Link to this Paper:
https://civilica.com/doc/1249752

Document National Code:

JR_JACM-7-3_031

Index date: 3 August 2021

Variational Principles and Solitary Wave Solutions of Generalized ‎Nonlinear Schrödinger Equation in the Ocean 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.

Variational Principles and Solitary Wave Solutions of Generalized ‎Nonlinear Schrödinger Equation in the Ocean Keywords:

Generalized nonlinear Schrödinger equation , semi-inverse method , Variational principle , internal solitary waves

Variational Principles and Solitary Wave Solutions of Generalized ‎Nonlinear Schrödinger Equation in the Ocean 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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