On solitary wave solutions of a class of nonlinear partial differential equations based on the function 1/coshn(αx+βt)

作者:

Highlights:

• A version of the method of simplest equation is applied to a class of nonlinear PDEs.

• Simplest equation of kind fξ2=n2(f2−f(2n+2)/n) is used.

• Exact solitary wave solutions of kind γ/coshn(αx+βt) are obtained.

摘要

•A version of the method of simplest equation is applied to a class of nonlinear PDEs.•Simplest equation of kind fξ2=n2(f2−f(2n+2)/n) is used.•Exact solitary wave solutions of kind γ/coshn(αx+βt) are obtained.

论文关键词:Solitary waves,Nonlinear partial differential equations,Exact solutions,Method of simplest equation

论文评审过程:Received 27 February 2017, Revised 11 May 2017, Accepted 30 July 2017, Available online 12 September 2017, Version of Record 12 September 2017.

论文官网地址:https://doi.org/10.1016/j.amc.2017.07.064