This paper presents a new way for deriving solitary wave by using variational principle, which not only can be used to derive solitary wave according to Original Mathematical Equations (OME), but also can be used to d...This paper presents a new way for deriving solitary wave by using variational principle, which not only can be used to derive solitary wave according to Original Mathematical Equations (OME), but also can be used to derive solitary wave according to the Wave Equation (WE) derived from OME. With the same condition of wave height and water depth, WE-solitary wave and OME-solitary wave are compared in this paper.展开更多
Variational principle for non-vortex, non-linear wave theories is established in this paper. By using this variational principle and related functional minimum condition, the fifth and sixth order Stokes Vaves are giv...Variational principle for non-vortex, non-linear wave theories is established in this paper. By using this variational principle and related functional minimum condition, the fifth and sixth order Stokes Vaves are given as an example and the results are compared with those in Reference (Skjel-breia, 1961).展开更多
文摘This paper presents a new way for deriving solitary wave by using variational principle, which not only can be used to derive solitary wave according to Original Mathematical Equations (OME), but also can be used to derive solitary wave according to the Wave Equation (WE) derived from OME. With the same condition of wave height and water depth, WE-solitary wave and OME-solitary wave are compared in this paper.
文摘Variational principle for non-vortex, non-linear wave theories is established in this paper. By using this variational principle and related functional minimum condition, the fifth and sixth order Stokes Vaves are given as an example and the results are compared with those in Reference (Skjel-breia, 1961).
