Modified extended exp-function method for a system of nonlinear partial differential equations defined by seismic sea waves

Pramana ◽  
2018 ◽  
Vol 91 (2) ◽  
Author(s):  
Muhammad Shakeel ◽  
Syed Tauseef Mohyud-Din ◽  
Muhammad Asad Iqbal
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Function Method ◽  
Nonlinear Partial Differential Equations ◽  
Sea Waves ◽  
Partial Differential

Extended tanh-Function Method for Finding Travelling Wave Solutions of Some Nonlinear Partial Differential Equations

2005 ◽  
Vol 60 (1-2) ◽  
pp. 7-16 ◽  
Author(s):  
Mustafa Inc ◽  
Engui G. Fan
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Function Method ◽  
Nonlinear Partial Differential Equations ◽  
Travelling Wave ◽  
Nonlinear Pdes ◽  
Travelling Wave Solutions ◽  
Partial Differential ◽  
Wave Solutions

In this paper, we find travelling wave solutions of some nonlinear partial differential equations (PDEs) by using the extended tanh-function method. Some illustrative equations are investigated by this method and new travelling wave solutions are found. In addition, the properties of these nonlinear PDEs are shown with some figures.

Exact Travelling Wave Solutions of Toda Lattice Equations Obtained via the Exp-Function Method

2008 ◽  
Vol 63 (10-11) ◽  
pp. 657-662 ◽  
Author(s):  
Chao-Qing Dai ◽  
Yue-Yue Wang
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Function Method ◽  
Toda Lattice ◽  
Nonlinear Partial Differential Equations ◽  
Travelling Wave ◽  
Travelling Wave Solutions ◽  
Partial Differential ◽  
Wave Solutions ◽  
Toda Lattices

We generalize the exp-function method, which was used to find new exact travelling wave solutions of nonlinear partial differential equations or coupled nonlinear partial differential equations, to nonlinear differential-difference equations. As illustration, we study two Toda lattices and obtain some new travelling wave solutions by means of the exp-function method. As some special examples, some new exact travelling wave solutions can degenerate into the kink-type solitary wave solutions reported in open literatures.

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