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pro vyhledávání: '"D. J. Kaup"'
We study coupled unstaggered-staggered soliton pairs emergent from a system of two coupled discrete nonlinear Schr\"{o}dinger (DNLS) equations with the self-attractive on-site self-phase-modulation nonlinearity, coupled by the repulsive cross-phase-m
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d9152339c6ccd0b63a3e67ec145fe428
https://doi.org/10.1016/j.cnsns.2020.105244
https://doi.org/10.1016/j.cnsns.2020.105244
Autor:
D. J. Kaup, G. T. Adamashvili
Publikováno v:
Physical Review A. 99
Autor:
D. J. Kaup, Robert A. Van Gorder
Publikováno v:
Mathematics and Computers in Simulation. 127:131-150
The features of the resonant soliton of the 3 × 3 operator is studied and detailed. The scattering data of this operator contains four transmission coefficients, two in each half complex ζ-plane, where ζ is the spectral parameter. When the potenti
Autor:
D. J. Kaup, G. T. Adamashvili
Publikováno v:
Physical Review A. 95
A theory of an optical breather of self-induced transparency for small area surface plasmon-polariton waves is constructed. The wave equation for an optical nonlinear electric field consisting of surface transverse magnetic modes, traveling along a t
Autor:
G. T. Adamashvili, D. J. Kaup
Publikováno v:
Physics Letters A. 376:432-437
The influence of the transverse and longitudinal magnetic relaxations on the propagation of an acoustic resonance soliton is considered. The dynamics of the changes of the width and frequency shift of acoustic pulse in both the Markovian and the non-
Autor:
D. J. Kaup
Publikováno v:
Bulletin of the London Mathematical Society. 42:377-380
Autor:
D. J. Kaup
Publikováno v:
Theoretical and Mathematical Physics. 159:806-818
We briefly review the Ablowitz-Kaup-Newell-Segur (AKNS) formalism for 1D+1D integrable systems starting with the Lax pair and continuing into integrable perturbation theory and squared eigenfunctions. We emphasize the common features of the inverse s
Autor:
D J Kaup
Publikováno v:
Teoreticheskaya i Matematicheskaya Fizika. 159:459-474
Autor:
D. J. Kaup, T.K. Vogel
Publikováno v:
Physics Letters A. 362:289-297
Variational problems have long been used to mathematically model physical systems. Their advantage has been the simplicity of the model as well as the ability to deduce information concerning the functional dependence of the system on various paramet
Autor:
D. J. Kaup
Publikováno v:
Studies in Applied Mathematics. 117:149-164
We consider the Camassa-Holm equation for general initial data, particularly when the potential in the scattering problem of the Lax pair, m + K, becomes negative over a finite region. We show that the direct scattering problem of the eigenvalue prob