The (G′/G)‐Expansion Method for Abundant Traveling Wave Solutions of Caudrey‐Dodd‐Gibbon Equation

Naher, Hasibun; Abdullah, Farah Aini; Akbar, M. Ali

doi:10.1155/2011/218216

Cited by 49 publications

(23 citation statements)

References 21 publications

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“…In this method, m a Afterwards, many researchers implemented this method to solve many nonlinear partial differential equations [13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Some new solutions of the (1+1)-dimensional PDE via the improved (G′/G)-expansion method

Naher¹,

Abdullah²

2014

AIP Conference Proceedings

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Abstract. In this article, an improved '/ G G -expansion method is implemented for the simplified Modified CamassaHolm (MCH) equation involving parameters, with an aim to construct many new traveling wave solutions. In this method, second order linear ordinary differential equation with constant coefficients has been implemented as an auxiliary equation. The generated solutions including solitons and periodic solutions are demonstrated by the hyperbolic function, the trigonometric function and the rational forms. If the parameters take particular values, the solutions become in special functional form. Moreover, it is worth mentioning that, some of our solutions are in good agreement with already published results in the open literature by setting appropriate values of constants, which proves our other solutions. In addition, some of obtained solutions are described in the figures with the aid of commercial software Maple 13.

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“…In this method, m a Afterwards, many researchers implemented this method to solve many nonlinear partial differential equations [13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Some new solutions of the (1+1)-dimensional PDE via the improved (G′/G)-expansion method

Naher¹,

Abdullah²

2014

AIP Conference Proceedings

Self Cite

View full text Add to dashboard Cite

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“…Recently, another important method firstly proposed by Wang et al (2008) to generate travelling wave solutions and called the (G'/G)-expansion method. Following Wang et al (2008) many researchers investigated many nonlinear PDEs to construct travelling wave solutions (Zayed and Gepreel, 2009;Feng et al, 2011;Naher et al, 2011;Abazari and Abazari, 2011;Naher and Abdullah, 2012c;Akbar and Ali, 2013).…”

Section: Introductionmentioning

confidence: 99%

New Approach of (G\'/G)-expansion Method for RLW Equation

Naher¹,

Abdullah²

2014

RJASET

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Abstract:In this study, new extension of the (G'/G)-expansion method with nonlinear ODE has been introduced to investigate the generalized regularized long wave equation. Therefore, many new travelling wave solutions with many parameters are generated. The obtained solutions are more general and solutions include the solutions, the hyperbolic function, the trigonometric function and the rational forms. In addition, some of our solutions are identical with already published results, which validate newly generated solutions and others solutions have not been reported in the previous literature.

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“…solve different kinds of NLEEs [22,23,24,25,26]. More recently, Zhang et al [27] extended the basic ( ) …”

Section: Introductionmentioning

confidence: 99%

The Improved (G’/G)-Expansion Method to the (3+1)-Dimensional Kadomstev-Petviashvili Equation

Naher¹,

Abdullah²

2013

AJAMS

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The (G^′/G)‐Expansion Method for Abundant Traveling Wave Solutions of Caudrey‐Dodd‐Gibbon Equation

Cited by 49 publications

References 21 publications

Some new solutions of the (1+1)-dimensional PDE via the improved (G′/G)-expansion method

Some new solutions of the (1+1)-dimensional PDE via the improved (G′/G)-expansion method

New Approach of (<em>G\'/G</em>)-expansion Method for RLW Equation

The Improved (G<SUP>’</SUP>/G)-Expansion Method to the (3+1)-Dimensional Kadomstev-Petviashvili Equation

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