Browsing Library by Author "Liu, Yue"

Now showing items 1-7 of 7

    • A STUDY ON THE NONLOCAL SHALLOW-WATER MODEL ARISING FROM THE FULL WATER WAVES WITH THE CORIOLIS EFFECT 

      Sun, Junwei (2017-08-28)
      The Equatorial Undercurrent is a significant feature of the geophysical waves near the equator, which is one of the key factors to explain El Niño phenomenon. However, based on β-plane approximation, the classical theory ...

    • A study on the rotational b-family of equations 

      Bolat, Emel; 0000-0002-9705-9556 (2018-04-30)
      In this thesis, we study a mathematical model of long-crested water waves propagating in one direction with the effect of Earth's rotation near the equator by following the formal asymptotic procedures. Firstly, we derive ...

    • A study on traveling wave solutions in the shallow-water-type system 

      Luo, Ting (2017-08-08)
      The study of water waves reveals the physical principles of many phenomena of scientific and engineering interest. In this dissertation I consider three models: two-component Camassa-Holm system(2CH), generalized two-component ...

    • The Generalized Two-component Hunter-Saxton System 

      Moon, Byungsoo (Mathematics, 2013-07-22)
      This thesis is concerned with the generalized two-component Hunter-Saxton system. In the periodic setting, we study the wave-breaking phenomenon and global existence for the generalized two-component Hunter-Saxton system. ...

    • ON A CUBIC NONLINEAR EQUATION MODEL ARISING IN SHALLOW WATER THEORY 

      Alkhazaleh, Osama Salameh; 0000-0002-1062-9270 (2021-08-06)
      The shallow water waves theory produces numerous integrable equations with cubic non- linearity as asymptotic models. We began our work by formally deriving a model equation for the free surface elevation η with higher-order ...

    • A Study On The B Family Of Shallow Water Wave Equations 

      Saha, Snehanhsu (Mathematics, 2009-09-16)
      In this dissertation we study b family of shallow water wave equations which include classical Korteweg-de Vries, Camassa-Holm and Degasperis-Procesi equations. We first establish the models of the Camassa-Holm and ...

    • A Study On The Two Component Periodic Shallow Water Systems 

      Chen, Caixia (Mathematics, 2012-07-25)
      In this dissertation we study the generalized periodic two-component Camassa-Holm system and the generalized periodic two-component Dullin-Gottwald-Holm system, which can be derived from the Euler equation with nonzero ...