Zobrazeno 1 - 10
of 234
pro vyhledávání: '"Kaup D"'
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation 85 (2020) 105244
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
Externí odkaz:
http://arxiv.org/abs/2003.00591
We present stable bright solitons built of coupled unstaggered and staggered components in a symmetric system of two discrete nonlinear Schr\"{o}dinger (DNLS) equations with the attractive self-phase-modulation (SPM) nonlinearity, coupled by the repu
Externí odkaz:
http://arxiv.org/abs/1202.0968
Autor:
Kaup, D. J., Van Gorder, Robert A.
Resonant solitons of the $3\times 3$ operator are studied. The scattering data of this operator contains four transmission coefficients, two in each half complex $\zeta$-plane, where $\zeta$ is the spectral parameter. For anti-hermitian symmetry of t
Externí odkaz:
http://arxiv.org/abs/1106.3943
Autor:
Yang, Jianke, Kaup, D. J.
Publikováno v:
J. Math. Phys. 50, 023504 (2009)
Squared eigenfunctions are quadratic combinations of Jost functions and adjoint Jost functions which satisfy the linearized equation of an integrable equation. In this article, squared eigenfunctions are derived for the Sasa-Satsuma equation whose sp
Externí odkaz:
http://arxiv.org/abs/0902.1210
We consider several ways of how one could classify the various types of soliton solutions related to nonlinear evolution equations which are solvable by the inverse scattering method. In doing so we make use of the fundamental analytic solutions, the
Externí odkaz:
http://arxiv.org/abs/0708.1253
Autor:
Kaup, D. J., Malomed, Boris A.
We develop the technique of the variational approximation for solitons in two directions. First, one may have a physical model which does not admit the usual Lagrangian representation, as some terms can be discarded for various reasons. For instance,
Externí odkaz:
http://arxiv.org/abs/math-ph/0204055
It is commonly held that a necessary condition for the existence of solitons in nonlinear-wave systems is that the soliton's frequency (spatial or temporal) must not fall into the continuous spectrum of radiation modes. However, this is not always tr
Externí odkaz:
http://arxiv.org/abs/nlin/0005056
Autor:
Kaup, D. J.
Publikováno v:
The Journal of the Operational Research Society, 2005 Dec 01. 56(12), 1399-1407.
Externí odkaz:
https://www.jstor.org/stable/4102150
Using the complex Toda chain (CTC) as a model for the propagation of the N-soliton pulse trains of the nonlinear Schrodinger (NLS) equation, we predict the asymptotic behavior of these trains. The following asymptotic regimes are stable: (i)~asymptot
Externí odkaz:
http://arxiv.org/abs/solv-int/9708004
Autor:
Yang, Jianke, Kaup, D. J.
Publikováno v:
SIAM Journal on Applied Mathematics, 2000 Feb 01. 60(3), 967-989.
Externí odkaz:
https://www.jstor.org/stable/118535