|
This article is cited in 6 scientific papers (total in 6 papers)
Small-amplitude dispersion oscillations on the background of the nonlinear geometric optic approximation
V. R. Kudashev, B. I. Suleimanov Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Abstract:
Analogues of the Pearcey integral describe the small dispersion influence on the beginning of spontaneous-vanishing processes for the nonlinear geometric optic approximation amplitude, which is a solution of equations of the focusing nonlinear Schrödinger equation type. The asymptotic behavior as $x^2+t^2\to\infty$ of these analogues is considered. For $x^2+t^2\to\infty$, the special functions under consideration have a domain of small-amplitude high-frequency oscillations, which occur on the background of the nonzero-amplitude nonlinear geometric optic approximation.
Citation:
V. R. Kudashev, B. I. Suleimanov, “Small-amplitude dispersion oscillations on the background of the nonlinear geometric optic approximation”, TMF, 118:3 (1999), 413–422; Theoret. and Math. Phys., 118:3 (1999), 325–332
Linking options:
https://www.mathnet.ru/eng/tmf714https://doi.org/10.4213/tmf714 https://www.mathnet.ru/eng/tmf/v118/i3/p413
|
Statistics & downloads: |
Abstract page: | 361 | Full-text PDF : | 203 | References: | 36 | First page: | 1 |
|