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Self similar solutions of semilinear wave equations with a focusing nonlinearity

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Figure

Figure 1. The intersection of curves C0 and C1 for ρ0 = 0.1 (p = 7).
Figure 2. The first five self-similar solutions for p = 7. To show oscillations around u∞ we plotwn = un/u∞ − 1.
Table 1. Shooting parameters of solutions un and their quotients �cn = cn+1/cn and �bn =(bn+1 − b∞)/(b∞ − bn) for p = 7
Figure 3. Illustration to the proof of proposition 3.(This figure is in colour only in the electronic version)

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