New solutions for solving Boussinesq equation via potential symmetries method

2015 ◽  
Vol 251 ◽  
pp. 225-232 ◽  
Author(s):  
Mina B. Abd-el-Malek ◽  
Nagwa A. Badran ◽  
Hossam S. Hassan ◽  
Heba H. Abbas
Keyword(s):  
Boussinesq Equation ◽  
Potential Symmetries

scholarly journals Analytical mathematical schemes: Circular rod grounded via transverse Poisson’s effect and extensive wave propagation on the surface of water

Open Physics ◽  
2020 ◽  
Vol 18 (1) ◽  
pp. 545-554
Author(s):  
Asghar Ali ◽  
Aly R. Seadawy ◽  
Dumitru Baleanu
Keyword(s):  
Wave Propagation ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Longitudinal Wave ◽  
Symbolic Computation ◽  
Boussinesq Equation ◽  
Nonlinear Partial Differential Equations ◽  
Wave Model ◽  
Simple Equation ◽  
Partial Differential

AbstractThis article scrutinizes the efficacy of analytical mathematical schemes, improved simple equation and exp(-\text{Ψ}(\xi ))-expansion techniques for solving the well-known nonlinear partial differential equations. A longitudinal wave model is used for the description of the dispersion in the circular rod grounded via transverse Poisson’s effect; similarly, the Boussinesq equation is used for extensive wave propagation on the surface of water. Many other such types of equations are also solved with these techniques. Hence, our methods appear easier and faster via symbolic computation.

scholarly journals Double criticality and the two-way Boussinesq equation in stratified shallow water hydrodynamics

2016 ◽  
Vol 28 (6) ◽  
pp. 062103 ◽  
Author(s):  
Thomas J. Bridges ◽  
Daniel J. Ratliff
Keyword(s):  
Shallow Water ◽  
Boussinesq Equation
Sign in / Sign up

Export Citation Format

Share Document