Abstract
The main purpose of this paper is to study the traveling wave solutions of the diffusive Lotka–Volterra systems with boundary conditions. With the help of Gröbner bases elimination method, a series of new traveling wave solutions have been obtained through symbolic computation. In particular, it is worth noting that these traveling wave solutions may inspire us to explore new phenomena in this system. The obtained results in this paper substantially improve the corresponding results in the known literatures. Finally, we summarize the current study and give the future work.
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