Exact solutions of equation generated by the jaulent-miodek hierarchy by (G'/G)-expansion method

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Abstract

The (G'/G)-expansion method is proposed for constructing more general exact solutions of the nonlinear (2 + 1)-dimensional equation generated by the Jaulent-Miodek Hierarchy. As a result, when the parameters are taken at special values, some new traveling wave solutions are obtained which include solitary wave solutions which are based from the hyperbolic functions, trigonometric functions, and rational functions. We find in this work that the (G'/G)-expansion method give some new results which are easier and faster to compute by the help of a symbolic computation system. The results obtained were compared with tanh method.

Original languageEnglish
Article number392830
JournalMathematical Problems in Engineering
Volume2013
DOIs
Publication statusPublished - 2013

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(G′/G)-expansion Method
Exact Solution
Hyperbolic functions
Rational functions
Solitons
The Tanh Method
Hyperbolic function
Circular function
Solitary Wave Solution
Symbolic Computation
Traveling Wave Solutions
Rational function
Hierarchy

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

Cite this

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abstract = "The (G'/G)-expansion method is proposed for constructing more general exact solutions of the nonlinear (2 + 1)-dimensional equation generated by the Jaulent-Miodek Hierarchy. As a result, when the parameters are taken at special values, some new traveling wave solutions are obtained which include solitary wave solutions which are based from the hyperbolic functions, trigonometric functions, and rational functions. We find in this work that the (G'/G)-expansion method give some new results which are easier and faster to compute by the help of a symbolic computation system. The results obtained were compared with tanh method.",
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AB - The (G'/G)-expansion method is proposed for constructing more general exact solutions of the nonlinear (2 + 1)-dimensional equation generated by the Jaulent-Miodek Hierarchy. As a result, when the parameters are taken at special values, some new traveling wave solutions are obtained which include solitary wave solutions which are based from the hyperbolic functions, trigonometric functions, and rational functions. We find in this work that the (G'/G)-expansion method give some new results which are easier and faster to compute by the help of a symbolic computation system. The results obtained were compared with tanh method.

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