Analytic study on two nonlinear evolution equations by using the (G '/G)-expansion method

作者：Aslan Ismail^*; Ozis Turgut

来源：Applied Mathematics and Computation, 2009, 209(2): 425-429.

DOI：10.1016/j.amc.2008.12.064

• (G '/G)-expansion method
• Modified Camassa-Holm equation
• Two-dimensional Korteweg-de-Vries-Burgers equation
• Exact solutions
• Traveling wave solutions

The validity and reliability of the so-called (G'/G)-expansion method is tested by applying it to two nonlinear evolutionary equations. Solutions in more general forms are obtained. When the parameters are taken as special values, it is observed that the previously known solutions can be recovered. New rational function solutions are also presented. Being concise and less restrictive, the method can be applied to many nonlinear partial differential equations.

• 出版日期2009-3-15