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- W995642533 abstract "It is shown that the asymptotic solution of the Stimulated Raman Scattering equations approaches the similarity solution of the Sine-Gordon equation which is also the third Painleve transcendent. We also give a method for constructing the physical solutions of this third Painleve transcendent by means of integral inverse scattering equations expanded about the singular point z = 0, in contrast to other methods which invaribly expand the solution about z = ±∞. Moreover, since our method of solution is based on inverse scattering, it is now feasible to directly relate the physical solution near the singular point z = 0 to the physical solution near the irregular singular points z = ±∞." @default.
- W995642533 created "2016-06-24" @default.
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- W995642533 date "1992-01-01" @default.
- W995642533 modified "2023-09-24" @default.
- W995642533 title "The Asymptotic Solution of the Stimulated Raman-Scattering Equation" @default.
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- W995642533 doi "https://doi.org/10.1007/978-1-4899-1158-2_22" @default.
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