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PT-symmetrically deformed shock waves

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Figure

Figure 1: (a) A multi-valued self-avoiding shock waveself-crossing shock wave ˜ w(x, t1)
Figure 2: (a) Solution of the inviscid Burgers equation for transformed Cauchy distribution initialprofile
Figure 3: (a) Solution of the inviscid Burgers equation at times before and after the second shockthe inviscid Burgers equation at the second shock time(blue) for transformed Cauchy distribution initial profile
Figure 5: (a) Solutions of the inviscid Burgers equation for a transformed Gaussian initial profile.(b) Solution of the ε = 2-deformation with a Gaussian initial profile in the exp(iπ/4)-direction.
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