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Plot of the numerical solutions to (40) given for various values of the power-law parameter n. The other parameters are fixed as b = c = 1, ϵ = 1, and α = 1, while boundary conditions are taken as ρ(0) = 1, ρ′(0) = 0. In order to obtain periodic solutions, we consider only odd n. The solutions do not vary strongly with ϵ, and the role of is to modify the period of the solutions. The structure of the solutions is most influenced by n. As n increases, the traveling wave solutions become more sharp and the period of oscillation decreases, although the amplitude remains the same.
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