Modified extended tanh-function method for solving nonlinear partial differential equations

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2005.10.072 ◽

2007 ◽

Vol 31 (5) ◽

pp. 1256-1264 ◽

Author(s):

S.A. El-Wakil ◽

M.A. Abdou

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Function Method ◽

Nonlinear Partial Differential Equations ◽

Partial Differential

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

Pramana ◽

10.1007/s12043-018-1601-6 ◽

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

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The Solitary Travelling Wave Solutions of Some Nonlinear Partial Differential Equations Using the Modified Extended Tanh Function Method with Riccati Equation

Asian Research Journal of Mathematics ◽

10.9734/arjom/2018/36887 ◽

2018 ◽

Vol 8 (3) ◽

pp. 1-13 ◽

Author(s):

M El-Horbaty ◽

F Ahmed

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Riccati Equation ◽

Function Method ◽

Nonlinear Partial Differential Equations ◽

Travelling Wave ◽

Travelling Wave Solutions ◽

Partial Differential ◽

Wave Solutions ◽

Solitary Travelling Wave

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New exact travelling wave solutions for some famous nonlinear partial differential equations using the improved tanh-function method

International Journal of Computer Mathematics ◽

10.1080/00207160601071452 ◽

2006 ◽

Vol 83 (10) ◽

pp. 741-751 ◽

Author(s):

M. Alabdullatif ◽

H. A. Abdusalam

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Function Method ◽

Nonlinear Partial Differential Equations ◽

Travelling Wave ◽

Travelling Wave Solutions ◽

Partial Differential ◽

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The exp-function method for new exact solutions of the nonlinear partial differential equations

International Journal of the Physical Sciences ◽

10.5897/ijps11.1026 ◽

2011 ◽

Vol 6 (29) ◽

Author(s):

Hasibun Naher

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Exact Solutions ◽

Function Method ◽

Nonlinear Partial Differential Equations ◽

Partial Differential ◽

New Exact Solutions

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Generalized solitonary and periodic solutions for nonlinear partial differential equations by the Exp-function method

Nonlinear Dynamics ◽

10.1007/s11071-007-9250-1 ◽

2007 ◽

Vol 52 (1-2) ◽

pp. 1-9 ◽

Author(s):

M. A. Abdou

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Periodic Solutions ◽

Function Method ◽

Nonlinear Partial Differential Equations ◽

Partial Differential

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Comments on “A new algorithm for automatic computation of solitary wave solutions to nonlinear partial differential equations based on the Exp-function method”

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.06.029 ◽

2014 ◽

Vol 243 ◽

pp. 419-425 ◽

Author(s):

Zenonas Navickas ◽

Minvydas Ragulskis

Keyword(s):

Partial Differential Equations ◽

Solitary Wave ◽

Differential Equations ◽

Function Method ◽

Nonlinear Partial Differential Equations ◽

Solitary Wave Solutions ◽

Partial Differential ◽

Automatic Computation ◽

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Exact solutions for nonlinear partial differential equations via Exp-function method

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20497 ◽

2009 ◽

pp. NA-NA ◽

Author(s):

Hossein Aminikhah ◽

Hossein Moosaei ◽

Mojtaba Hajipour

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Exact Solutions ◽

Function Method ◽

Nonlinear Partial Differential Equations ◽

Partial Differential

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

Zeitschrift für Naturforschung A ◽

10.1515/zna-2005-1-202 ◽

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 ◽

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.

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Soliton solution for nonlinear partial differential equations by cosine-function method

Physics Letters A ◽

10.1016/j.physleta.2007.04.017 ◽

2007 ◽

Vol 368 (3-4) ◽

pp. 299-304 ◽

Author(s):

A.H.A. Ali ◽

A.A. Soliman ◽

K.R. Raslan

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Soliton Solution ◽

Function Method ◽

Nonlinear Partial Differential Equations ◽

Cosine Function ◽

Partial Differential

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

Zeitschrift für Naturforschung A ◽

10.1515/zna-2008-10-1109 ◽

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 ◽

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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