Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Valchev, T I"'
Autor:
Yanovski, A. B., Valchev, T. I.
We consider simultaneously two different reductions of a Zakharov-Shabat's spectral problem in pole gauge. Using the concept of gauge equivalence, we construct expansions over the eigenfunctions of the recursion operators related to the afore-mention
Externí odkaz:
http://arxiv.org/abs/1808.05568
Autor:
Valchev, T. I., Yanovski, A. B.
We present in this report 1+1 dimensional nonlinear partial differential equation integrable through inverse scattering transform. The integrable system under consideration is a pseudo-Hermitian reduction of a matrix generalization of classical 1+1 d
Externí odkaz:
http://arxiv.org/abs/1802.03591
Autor:
Valchev, T. I., Yanovski, A. B.
Publikováno v:
Journal of Nonlinear Mathematical Physics, vol. 25, Issue 3, 442-461, 2018
This paper is a continuation of our previous work in which we studied a sl(3) Zakharov-Shabat type auxiliary linear problem with reductions of Mikhailov type and the integrable hierarchy of nonlinear evolution equations associated with it. Now, we sh
Externí odkaz:
http://arxiv.org/abs/1711.06353
Autor:
Yanovski, A. B., Valchev, T. I.
Publikováno v:
Journal of Nonlinear Mathematical Physics, Vol. 25, Issue 2, 324-350 (2018)
We consider an auxiliary spectral problem originally introduced by Gerdjikov, Mikhailov and Valchev (GMV system) and its modification called pseudo-Hermitian reduction which is extensively studied here for the first time. We describe the integrable h
Externí odkaz:
http://arxiv.org/abs/1709.09266
We study a class of integrable non-linear differential equations related to the A.III-type symmetric spaces. These spaces are realized as factor groups of the form SU(N)/S(U(N-k) x U(k)). We use the Cartan involution corresponding to this symmetric s
Externí odkaz:
http://arxiv.org/abs/1004.4182
We analyze a class of multicomponent nonlinear Schrodinger equations (MNLS) related to the symmetric BD.I-type symmetric spaces and their reductions. We briefly outline the direct and the inverse scattering method for the relevant Lax operators and t
Externí odkaz:
http://arxiv.org/abs/1001.0168
A three- and five-component nonlinear Schrodinger-type models, which describe spinor Bose-Einstein condensates (BEC's) with hyperfine structures F=1 and F=2 respectively, are studied. These models for particular values of the coupling constants are i
Externí odkaz:
http://arxiv.org/abs/0802.4398
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
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