scholarly journals Mathematical methods via the nonlinear two-dimensional water waves of Olver dynamical equation and its exact solitary wave solutions

2018 ◽  
Vol 8 ◽  
pp. 286-291 ◽  
Author(s):  
Aly R. Seadawy ◽  
Sultan Z. Alamri
Keyword(s):  
Solitary Wave ◽  
Water Waves ◽  
Dynamical Equation ◽  
Two Dimensional ◽  
Solitary Wave Solutions ◽  
Mathematical Methods ◽  
Wave Solutions

scholarly journals Gaussian solitary waves to Boussinesq equation with dual dispersion and logarithmic nonlinearity

2018 ◽  
Vol 23 (6) ◽  
pp. 942-950 ◽  
Author(s):  
Anjan Biswasa ◽  
Mehmet Ekici ◽  
Abdullah Sonmezoglu
Keyword(s):  
Solitary Wave ◽  
Shallow Water ◽  
Solitary Waves ◽  
Water Waves ◽  
Trial Function ◽  
Boussinesq Equation ◽  
Solitary Wave Solutions ◽  
Shallow Water Waves ◽  
Wave Solutions ◽  
Extended Trial

This paper discusses shallow water waves that is modeled with Boussinesq equation that comes with dual dispersion and logarithmic nonlinearity. The extended trial function scheme retrieves exact Gaussian solitary wave solutions to the model.

Exact and explicit solitary wave solutions to a model equation for water waves

1989 ◽  
Vol 139 (8) ◽  
pp. 373-374 ◽  
Author(s):  
Guo-xiang Huang ◽  
Sen-yue Luo ◽  
Xian-xi Dai
Keyword(s):  
Solitary Wave ◽  
Water Waves ◽  
Model Equation ◽  
Solitary Wave Solutions ◽  
Wave Solutions
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