Fig 1 - uploaded by Ehab Said Selima
Content may be subject to copyright.
Download
View publication
3 Shallow water wave [6].

3 Shallow water wave [6].

Source publication
Fig. 1.2 Deep water wave [1].
Fig. 1.3 Shallow water wave [6].
Fig. 1.4 The solid line shows the wave at t = 0 and the dotted line...
Fig. 1.8.
+15 Fig. 2.1 Phenomenon of ocean waves.
Solutions of Some Nonlinear Differential Equations in the Fluid Mechanics
Thesis
Full-text available
  • Jan 2010
The outline of this thesis is as follows: in chapter 2, we study two different problems which describe the wave propagation in shallow water. In the first, we investigated the analytical solutions of the linear shallow water equations and studied some properties such as dispersion relation, stability and conservation laws. In the second, The Painle...
Cite
Download full-text

Context in source publication

Context 1
... indicates that the solution 7 η is a bell-profile solitary wave as in Fig. 2.13. The same results exist for the other cases. These limits are in a good agreement with the studies in Refs. ...

Citations

Growth and Decay Estimates near Non-Elementary Stationary Points
Article
  • Dec 1970
  • CAN J MATH
Local growth and decay estimates near the stationary point at the origin are derived in § 3 for solutions of the vector system, (1) where A(x) and B(y) are homogeneous of degree m > 1 in the components of x and y , respectively, and f* and g* are of order greater than m in ‖( x, y )‖ near the origin. It is assumed that x = 0 is asymptotically stable and y = 0 is asymptotically unstable for the homogeneous systems of first approximation, (2) In order to derive the estimates in § 3, various results are needed concerning solutions of a homogeneous system such as (2) (a). These are derived in § 2 and are based on work of Hahn [ 4; 5 ], Lefschetz [ 8 ], and Zubov [ 12 ].
View
View