Single peak solitary wave solutions for the generalized KP–MEW (2, 2) equation under boundary condition

作者:

Highlights:

• The theory of dynamic system is applied to the generalized KP–MEW (2, 2) equation.

• The existence of the regular soliton solutions with the constant pedestal is proved.

• Some new types of the single peak soliton solutions are given in explicit forms.

摘要

Highlights•The theory of dynamic system is applied to the generalized KP–MEW (2, 2) equation.•The existence of the regular soliton solutions with the constant pedestal is proved.•Some new types of the single peak soliton solutions are given in explicit forms.

论文关键词:KP–MEW (2, 2) equation,Single peak soliton,Peakon,Cuspon,Compacton,Smooth soliton,Loop soliton

论文评审过程:Available online 19 April 2013.

论文官网地址:https://doi.org/10.1016/j.amc.2013.03.007