scholarly journals Spherical shallow‐water wave simulation by a cubed‐sphere finite‐difference solver

2020 ◽  
Author(s):  
M. Brachet ◽  
J.‐P. Croisille
Keyword(s):  
Finite Difference ◽  
Shallow Water ◽  
Water Wave ◽  
Shallow Water Wave ◽  
Wave Simulation ◽  
Cubed Sphere

scholarly journals Exact Solutions and Conserved Vectors of the Two-Dimensional Generalized Shallow Water Wave Equation

Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1439
Author(s):  
Chaudry Masood Khalique ◽  
Karabo Plaatjie
Keyword(s):  
Differential Equation ◽  
Wave Equation ◽  
Shallow Water ◽  
Water Wave ◽  
Elliptic Integral ◽  
Momentum Conservation ◽  
Two Dimensional ◽  
Order Ordinary Differential Equation ◽  
Closed Form Solutions ◽  
Shallow Water Wave

In this article, we investigate a two-dimensional generalized shallow water wave equation. Lie symmetries of the equation are computed first and then used to perform symmetry reductions. By utilizing the three translation symmetries of the equation, a fourth-order ordinary differential equation is obtained and solved in terms of an incomplete elliptic integral. Moreover, with the aid of Kudryashov’s approach, more closed-form solutions are constructed. In addition, energy and linear momentum conservation laws for the underlying equation are computed by engaging the multiplier approach as well as Noether’s theorem.

Shallow water wave spectral characteristics along the eastern Arabian Sea

2013 ◽  
Vol 70 (1) ◽  
pp. 377-394 ◽  
Author(s):  
V. Sanil Kumar ◽  
P. R. Shanas ◽  
K. K. Dubhashi
Keyword(s):  
Shallow Water ◽  
Water Wave ◽  
Arabian Sea ◽  
Spectral Characteristics ◽  
Shallow Water Wave ◽  
Eastern Arabian Sea
Sign in / Sign up

Export Citation Format

Share Document