Zobrazeno 1 - 10
of 82
pro vyhledávání: '"Huang Nian-Ning"'
The Hamiltonian formalism of the Landau-Lifschitz equation for a spin chain with full anisotropy is formulated completely, which constructs a stable base for further investigations.
Comment: 11pages
Comment: 11pages
Externí odkaz:
http://arxiv.org/abs/nlin/0509042
Autor:
Cai, Hao, Huang, Nian-Ning
Hamiltonian formalism of the DNLS equation with nonvanishing boundary value is developed by the standard procedure.
Comment: 11 pages
Comment: 11 pages
Externí odkaz:
http://arxiv.org/abs/nlin/0507065
Publikováno v:
Communications in Theoretical Physics. 50:1375-1380
Using the integral representation of the Jost solution, we deduce some conditions as the kernel function N (x, y, t) if the Jost solution satisfies the two Lax equations. Then we verify the multi-soliton solution of NLS equation with non-vanishing bo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::52e8b74ba707913317162e8ff524d7d8
https://doi.org/10.1088/0253-6102/50/6/27
https://doi.org/10.1088/0253-6102/50/6/27
Publikováno v:
Chinese Physics Letters. 25:2403-2406
After a transformation, the inverse scattering transform for the derivative nonlinear Schr?dinger (DNLS) equation is developed in terms of squared spectral parameter. Following this approach, we obtain the orthogonality and completeness relations of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0bd9617ebf25bcb40d722daa8fc94dd2
https://doi.org/10.1088/0256-307x/25/7/020
https://doi.org/10.1088/0256-307x/25/7/020
Publikováno v:
Chinese Physics Letters. 25:421-424
Since the Jost solutions of the derivative nonlinear Schrodinger equation do not tend to the free Jost solutions, when the spectral parameter tends to infinity(|λ| → ∞), the usual inverse scattering transform (IST) must be revised. If we take th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::95a15dae7b2189ff0c241f310806af9b
https://doi.org/10.1088/0256-307x/25/2/019
https://doi.org/10.1088/0256-307x/25/2/019
Publikováno v:
Communications in Theoretical Physics. 48:299-303
Since the Jost solutions of the DNLS equation does not tend to the free Jost solutioins as | | ! 1, the usual inverse scattering transform (IST) must be revised. Beside the Kaup and Newell's approach, we propose a simple revision in constructing the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::85b79c1349eed3ec88cc858991bc8353
https://doi.org/10.1088/0253-6102/48/2/019
https://doi.org/10.1088/0253-6102/48/2/019
Autor:
Huang Nian-Ning
Publikováno v:
Chinese Physics Letters. 24:894-897
A simple derivation of the Marchenko equation is given for the derivative nonlinear Schrodinger equation. The kernel of the Marchenko equation is demanded to satisfy the conditions given by the compatibility equations. The soliton solutions to the Ma
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8b05a2a71f85208a654bf92fd5c54521
https://doi.org/10.1088/0256-307x/24/4/013
https://doi.org/10.1088/0256-307x/24/4/013
Publikováno v:
Communications in Theoretical Physics. 46:244-248
One of the basic problems about the inverse scattering transform for solving a completely integrable nonlinear evolutions equation is to demonstrate that the Jost solutions obtained from the inverse scattering equations of Cauchy integral satisfy the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::80a3b2e8e7dcac9cafebbb7193a8b030
https://doi.org/10.1088/0253-6102/46/2/013
https://doi.org/10.1088/0253-6102/46/2/013
Publikováno v:
International Journal of Theoretical Physics. 43:1931-1939
With a suitable gauge transformation, the Hamiltonian formalism of the Landau–Lifschitz equation for a spin chain with an easy plane is established by standard procedure. Action-angle variables are obtained and the canonical equation is given.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::757d8e19f99b480b8b38bc34b581dedc
https://doi.org/10.1023/b:ijtp.0000049001.38654.da
https://doi.org/10.1023/b:ijtp.0000049001.38654.da
Publikováno v:
Chinese Physics Letters. 21:1699-1702
Introducing an explicit expression of gauge transformation turning the spin in linear order of spectral parameter in the first Lax pair into the third axis in spin space, we derive the required Hamiltonian densities for the spin chain with the easy a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7fbd3df3bfa3b86e0f3728af76c50e90
https://doi.org/10.1088/0256-307x/21/9/006
https://doi.org/10.1088/0256-307x/21/9/006