Traveling wave solutions for the diffusive Lotka–Volterra equations with boundary problems

作者：

Highlights：

• The classical diffusive Lotka–Volterra systems with boundary conditions have been analysed in detail.

• Three kinds of solutions with different boundary conditions are obtained by the way of Grobner bases.

• This paper gives a new idea to establish traveling wave solutions for diffusive Lotka–Volterra systems .

• The obtained solutions substantially improve or complement the corresponding results in the known literatures.

摘要

•The classical diffusive Lotka–Volterra systems with boundary conditions have been analysed in detail.•Three kinds of solutions with different boundary conditions are obtained by the way of Grobner bases.•This paper gives a new idea to establish traveling wave solutions for diffusive Lotka–Volterra systems .•The obtained solutions substantially improve or complement the corresponding results in the known literatures.

论文关键词：Diffusive Lotka–Volterra systems,Gröbner bases,Boundary conditions,Traveling wave solutions

论文评审过程：Received 22 May 2021, Revised 31 July 2021, Accepted 12 August 2021, Available online 30 August 2021, Version of Record 30 August 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126599