Zobrazeno 1 - 10
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pro vyhledávání: '"D.J. Kaup"'
In 1979, a historical meeting took place at the Institute for Theoretical Physics in Kiev, USSR, where 48 American Scientists, specialists in nonlinear and turbulent processes, met for two weeks with their soviet counterparts. This meeting pro vide
Publikováno v:
Technical Digest. Summaries of Papers Presented at the Quantum Electronics and Laser Science Conference.
Summary form only given. Inverse scattering transform (IST) techniques, originating about 1980, are applied to optical parametric amplification (OPA). These techniques were extended to nonzero phase mismatch and applied to sum frequency generation (S
Autor:
D.J. Kaup, G.E. Thomas
Publikováno v:
IEEE Conference Record - Abstracts. 1997 IEEE International Conference on Plasma Science.
Summary form only given, as follows. When a strong RF electric field (with a frequency, /spl omega/, and a wavevector, k) is propagating in a cross-field, electron vacuum device, and k and /spl omega/ are such that a wave-particle resonance (/spl ome
Publikováno v:
Nonlinear Guided Waves and Their Applications.
Recently there has been intensive research on pulse propagation in dispersion-managed fibers, where pieces of fiber with opposite signs of dispersion are concatenated periodically (see, e.g., [1] and references therein). When the local dispersion len
Autor:
T.I. Lakoba, D.J. Kaup
Publikováno v:
Nonlinear Guided Waves and Their Applications.
We develop a theory of soliton propagation in the regime of strong dispersion management, based on the expansion over the Hermite-Gaussian functions. We present, in explicit form, (i) the conditions for stationary propagation of the soliton, (ii) the
Publikováno v:
International Conference on Plasma Science (papers in summary form only received).
Summary form only given, as follows. It has been well recognized that upper hybrid (UH) waves play a key role in various wave processes occurring in the upper hybrid resonance (UHR) region of the ionosphere leading to the observed stimulated electrom
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Autor:
D.J. Kaup, P.J. Hansen
Publikováno v:
Physica D: Nonlinear Phenomena. 18:77-84
In many applications, the nonlinear Schrodinger equation (NLS) occurs with a nonlinear boundary value being specified. In these cases one may consider the semi-infinite NLS as being forced and driven by the boundary value. Here we numerically study o
Autor:
D.J Kaup
Publikováno v:
Journal of Mathematical Analysis and Applications. 54:849-864
By solving the inverse scattering problem for a third-order (degenerate) eigenvalue problem, we can find the closure of the squared eigenfunctions of the Zakharov-Shabat equations. The question of the completeness of squared eigenstates occurs in man
Autor:
D.J. Kaup, P.J. Hansen
Publikováno v:
Physica D: Nonlinear Phenomena. 25:369-381
it is demonstrated that the standard procedure for treating initial value problems with the IST almost works also for boundary value problems. The only remaining difficulty preventing one from solving integrable systems with boundary values such as t