Abstract

In this paper we consider the coupled Lotka-Volterra competition-diffusion interaction model. We employ the concept of Lie group theory in constructing the Lie generator, developed the kth order prolongation of the generator of the coupled system. The invariant solution and the new symmetry solutions of the coupled Lotka-Volterra competition-diffusion system are obtained when the diffusive coefficients are equal. The group transformations of solutions of the system are also presented.

Keywords

References

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