Hard Loss of Stability in Painlevé-2 Equation
نویسندگان
چکیده
A special asymptotic solution of the Painlevé-2 equation with small parameter is studied. This solution has a critical point t∗ corresponding to a bifurcation phenomenon. When t < t∗ the constructed solution varies slowly and when t > t∗ the solution oscillates very fast. We investigate the transitional layer in detail and obtain a smooth asymptotic solution, using a sequence of scaling and matching procedures.
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تاریخ انتشار 2001