Generalized algebraic method and new exact traveling wave solutions for (2+1)-dimensional dispersive long wave equation

2006 ◽  
Vol 181 (1) ◽  
pp. 247-255 ◽  
Author(s):  
Qi Wang ◽  
Yong Chen ◽  
Hongqing Zhang
Keyword(s):  
Wave Equation ◽  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Algebraic Method ◽  
Exact Traveling Wave Solutions ◽  
Wave Solutions ◽  
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.

A NEW GENERAL ALGEBRAIC METHOD WITH SYMBOLIC COMPUTATION TO CONSTRUCT NEW TRAVELING SOLUTION FOR THE (1 +1)-DIMENSIONAL DISPERSIVE LONG WAVE EQUATION

2005 ◽  
Vol 16 (07) ◽  
pp. 1107-1119 ◽  
Author(s):  
YONG CHEN
Keyword(s):  
Wave Equation ◽  
Symbolic Computation ◽  
Evolution Equations ◽  
Traveling Wave Solutions ◽  
Algebraic Method ◽  
Periodic Wave ◽  
Nonlinear Evolution Equations ◽  
Rational Form ◽  
Wave Solutions ◽  
Long Wave

A new algebraic method, named Riccati equation rational expansion (RERE) method, is devised for constructing multiple traveling wave solutions for nonlinear evolution equations (NEEs). With the aid of symbolic computation, we choose (1 +1)-dimensional dispersive long wave equation (DLWE) to illustrate our method. As a result, we obtain many types of solutions including rational form solitary wave solutions, triangular periodic wave solutions and rational wave solutions.

On the Exact Traveling Wave Solutions to the van der Waals p-System

2021 ◽  
Vol 7 (3) ◽  
Author(s):  
M. Bilal ◽  
M. Younis ◽  
H. Rezazadeh ◽  
T. A. Sulaiman ◽  
A. Yusuf ◽  
...  
Keyword(s):  
Traveling Wave ◽  
Van Der Waals ◽  
Traveling Wave Solutions ◽  
P System ◽  
Exact Traveling Wave Solutions ◽  
Wave Solutions

THE EXACT TRAVELING WAVE SOLUTIONS AND THEIR BIFURCATIONS IN THE GARDNER AND GARDNER–KP EQUATIONS

2012 ◽  
Vol 22 (05) ◽  
pp. 1250126 ◽  
Author(s):  
FANG YAN ◽  
CUNCAI HUA ◽  
HAIHONG LIU ◽  
ZENGRONG LIU
Keyword(s):  
Traveling Wave ◽  
Function Method ◽  
Traveling Wave Solutions ◽  
Analytic Solutions ◽  
Auxiliary Function ◽  
Kp Equation ◽  
Gardner Equation ◽  
Exact Traveling Wave Solutions ◽  
Wave Solutions ◽  
Kp Equations

By using the method of dynamical systems, this paper studies the exact traveling wave solutions and their bifurcations in the Gardner equation. Exact parametric representations of all wave solutions as well as the explicit analytic solutions are given. Moreover, several series of exact traveling wave solutions of the Gardner–KP equation are obtained via an auxiliary function method.

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