Stabilized Bubble Function Method for Shallow Water Long Wave Equation

2003 ◽  
Vol 17 (4) ◽  
pp. 319-325 ◽  
Author(s):  
J. Matsumoto ◽  
T. Umetsu ◽  
M. Kawahara
Keyword(s):  
Wave Equation ◽  
Shallow Water ◽  
Function Method ◽  
Long Wave ◽  
Bubble Function

scholarly journals Analytic solution of the linearized shallow-water wave equations for certain continuous depth variations

1975 ◽  
Vol 19 (1) ◽  
pp. 81-94 ◽  
Author(s):  
D. L. Clements ◽  
C. Rogers
Keyword(s):  
Wave Equation ◽  
Shallow Water ◽  
Ground Motion ◽  
Water Depth ◽  
Water Wave ◽  
Wave Equations ◽  
Analytic Solution ◽  
Governing Equations ◽  
Long Wave ◽  
Shallow Water Wave Equations

AbstractThe linear long-wave equations with (and without) small ground motion are considered. The governing equations are represented in a matrix from and transformations are sought which reduce the system to (for example) a form associated with the conventional wave equation. Integration of the system is then immediate. It is shown that such a reduction may be acheived provided the variation in water depth is specified by certain multi-parameter forms.

scholarly journals The Characteristic Function Method and Its Application to (1 + 1)-Dimensional Dispersive Long Wave Equation

2012 ◽  
Vol 03 (01) ◽  
pp. 12-18 ◽  
Author(s):  
Medhat M. Helal ◽  
Mohammad L. Mekky ◽  
Emad A. Mohamed
Keyword(s):  
Wave Equation ◽  
Characteristic Function ◽  
Function Method ◽  
Long Wave

Generalized extended tanh-function method and its application to (1+1)-dimensional dispersive long wave equation

2003 ◽  
Vol 311 (2-3) ◽  
pp. 145-157 ◽  
Author(s):  
Xuedong Zheng ◽  
Yong Chen ◽  
Hongqing Zhang
Keyword(s):  
Wave Equation ◽  
Function Method ◽  
Long Wave

scholarly journals Traveling solitary wave solutions for the symmetric regularized long-wave equation

2015 ◽  
Vol 11 (8) ◽  
pp. 5520-5528
Author(s):  
Mostafa Khater ◽  
Mahmoud AE Abdelrahman
Keyword(s):  
Wave Equation ◽  
Solitary Wave ◽  
Traveling Wave ◽  
Function Method ◽  
Traveling Wave Solutions ◽  
Solitary Wave Solutions ◽  
Exact Traveling Wave Solutions ◽  
Wave Solutions ◽  
Long Wave ◽  
Regularized Long Wave Equation

In this paper, we employ the extended tanh function method to nd the exact traveling wave solutions involving parameters of the symmetric regularized long- wave equation. When these parameters are taken to be special values, the solitary wave solutions are derived from the exact traveling wave solutions. These studies reveal that the symmetric regularized long-wave equation has a rich varietyof solutions.

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