Application of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations

2011/08/24 by Pavel N. Ryabov, Ryabov, Pavel N., Dmitry I. Sinelshchikov +3
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #nlin.SI

paper · pdf · doi:10.48550/arxiv.1108.4916

6 figures; 21 references

arxiv created 2011/08/24 · arxiv updated 2011/08/25

Abstract

The application of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations is considered. Some classes of solitary wave solutions for the families of nonlinear evolution equations of fifth, sixth and seventh order are obtained. The efficiency of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations is demonstrated.

Related

• Polygons for finding exact solutions of nonlinear differential equations
• Periodic Wave Solutions of a Generalized KdV-mKdV Equation with Higher-Order Nonlinear Terms
• The modified simplest equation method to look for exact solutions of nonlinear partial differential equations
• Solitary wave solutions of FKPP equation using Homogeneous balance method(HB method)
• Solitary wave solutions of nonlinear partial differential equations based on the simplest equation for the function 1/\coshⁿ