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Digital Library of Mathematical Functions

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32 Painlevé Transcendents Properties 32.3 Graphics 32.3 Graphics 32.4 Isomonodromy Problems

Figure 32.3.7 (See in context.)

See accompanying text

Figure 32.3.7: $u_{k}(x;-\tfrac{1}{2})$ for $-12\leq x\leq 4$ with $k=0.33554\;691$ , 0.33554 692. The two graphs are indistinguishable when

exceeds −5.0, approximately. The parabolas $u^{2}+\tfrac{1}{2}x=0$ , $u^{2}+\tfrac{1}{6}x=0$ are shown in black and green, respectively.

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Symbols:: : real, : real and $u_{k}(x;\nu)$ : solution
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