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Abstract

The most common reaction-diffusion model on a Cayley tree with the nearest neighbor interactions is introduced, and the shock measure on a Cayley tree with the nearest interactions is studied. This can be solved through the full-interval method, the evolution equation of the system can be solved exactly in a closed form. The stationary solutions of such models are discussed and the final configuration will be full of particles. Also, the dynamics solutions are investigated and the Hamiltonian spectrum will be discrete .

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