Application of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mrow><mml:mo>(</mml:mo><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mi>G</mml:mi></mml:mrow><mml:mrow><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:mfrac><mml:mo>)</mml:mo></mml:mrow></mml:math>-expansion method to Regularized Long Wave (RLW) equation

Kabir, Mehdi; Borhanifar, A.; Abazari, Reza

doi:10.1016/j.camwa.2010.08.064

Cited by 24 publications

(1 citation statement)

References 26 publications

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“…The (G /G)-expansion method proposed by Wang et al [14] is particularly notable for its power and applicability in solving nonlinear problems, and has been successfully applied to solve many kinds of nonlinear partial differential equations. [15][16][17][18][19][20][21][22][23][24][25][26] All of these applications verified that the (G /G)-expansion method is a straightforward, efficient, and versatile technique for finding generalized solitary, periodic, and rational solutions for nonlinear evolution equations as well as for revealing intriguing characteristics of various innerwave interactions.…”

Section: Expansion Methods For Npdesmentioning

confidence: 96%

Explicit solutions of nonlinear wave equation systems

Bekir¹,

Ayhan²,

Özer³

2013

Chinese Phys. B

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We apply the (G′/G)-expansion method to solve two systems of nonlinear differential equations and construct traveling wave solutions expressed in terms of hyperbolic functions, trigonometric functions, and rational functions with arbitrary parameters. We highlight the power of the (G′/G)-expansion method in providing generalized solitary wave solutions of different physical structures. It is shown that the (G′/G)-expansion method is very effective and provides a powerful mathematical tool to solve nonlinear differential equation systems in mathematical physics.

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