We apply non-linear WKB analysis to the study of the string equation. Even though the solutions obtained with this method are not exact, they approximate extremely well the true solutions, as we explicitly show using numerical simulations. "Physical" solutions are seen to be separatrices corresponding to degenerate Riemann surfaces. We obtain an analytic approximation in excellent agreement with the numerical solution found by Parisi et al. for the k = 3 case.

Fucito, F., Gamba, A., Martellini, M., Ragnisco, O. (1992). NONLINEAR WKB ANALYSIS OF THE STRING EQUATION. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 6(11-12), 2123-2147 [10.1142/S0217979292001067].

NONLINEAR WKB ANALYSIS OF THE STRING EQUATION

RAGNISCO, Orlando
1992-01-01

Abstract

We apply non-linear WKB analysis to the study of the string equation. Even though the solutions obtained with this method are not exact, they approximate extremely well the true solutions, as we explicitly show using numerical simulations. "Physical" solutions are seen to be separatrices corresponding to degenerate Riemann surfaces. We obtain an analytic approximation in excellent agreement with the numerical solution found by Parisi et al. for the k = 3 case.
1992
Fucito, F., Gamba, A., Martellini, M., Ragnisco, O. (1992). NONLINEAR WKB ANALYSIS OF THE STRING EQUATION. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 6(11-12), 2123-2147 [10.1142/S0217979292001067].
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/156441
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? 12
social impact