TY - JOUR
TI - Internal solitary waves in the ocean by semi-inverse variational principle
AU - Liu Meng-Zhu
AU - Zhu Xiao-Qian
AU - Cao Xiao-Qun
AU - Liu Bai-Nian
AU - Peng Ke-Cheng
JN - Thermal Science
PY - 2022
VL - 26
IS - 3
SP - 2517
EP - 2525
PT - Article
AB - 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. The non-linear Schrodinger equation is suitable for describing the  deep-sea internal wave propagation. Firstly, by designing skillfully, the  trial-Lagrange functional, variational principles are successfully  established for the non-linear Schrodinger equation by the semi-inverse  method. Secondly, the constructed var-iational principle is proved by  minimizing the functionals with the calculus of variations. Finally,  different kinds of internal solitary waves are obtained by the semi-inverse  variational principle for the non-linear Schrodinger equation.