The G′/G-Expansion Method for Solutions of Evolution Equations

Abstract:

The investigation about traveling wave solutions of nonlinear equations is an important and interesting subject because they play important role in understanding the nonlinear problems. By using the (G′/G)-expansion method proposed recently, we construct the travelling wave solutions involving parameters for the Hirota and Satsuma equations. The travelling wave solutions are expressed by the hyperbolic functions, the trigonometric functions and the rational functions. The numerical simulation figures are shown.

• Periodical: Advanced Materials Research (Volume 940)
• Pages: 425-428
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.940.425
• Online since: June 2014
• Authors: Chun Huan Xiang, Bo Liang, Hong Lei Wang*
• Keywords: Expansion Method, Hirota, Non-Linear Evolution Equation, Satsuma Equations, Travelling Waves

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