Browsing Department of Mathematics by Author "Liu, Yue"
Now showing items 1-7 of 7
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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 ...