Zobrazeno 1 - 10
of 108
pro vyhledávání: '"Deng-yuan Chen"'
Publikováno v:
Journal of Nonlinear Mathematical Physics. 18:483
It is shown that the AKNS hierarchy with self-consistent sources can transform to KN hierarchy with self-consistent sources through a transformation operator and gauge transformation. Besides, there exists transformation in their conservation laws an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::49f6bf69774741f335fceeca5b57006a
https://doi.org/10.1142/s1402925111001775
https://doi.org/10.1142/s1402925111001775
Publikováno v:
Communications in Theoretical Physics. 62:5-12
In the paper, Ablowitz—Ladik hierarchy with new self-consistent sources is investigated. First the source in the hierarchy is described as nn+1, where n is related to the Ablowitz—Ladik spectral problem, instead of the corresponding adjoint spect
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::744104add33ce4574dfa7fb8056e4d75
https://doi.org/10.1088/0253-6102/62/1/02
https://doi.org/10.1088/0253-6102/62/1/02
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 18:2949-2959
Generalized solutions in double Casoratian form of the four-potential isospectral Ablowitz–Ladik equation possessing bilinear form are derived through a matrix method for constructing double Casoratian entries. A novel class of explicit solutions,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::16c11379aa96ca5ab223b0898eee95b1
https://doi.org/10.1016/j.cnsns.2013.04.024
https://doi.org/10.1016/j.cnsns.2013.04.024
Publikováno v:
Chaos, Solitons & Fractals. 45:1479-1485
The non-isospectral Ablowitz–Ladik hierarchy is integrated by the inverse scattering transform. In contrast with the isospectral Ablowitz–Ladik hierarchy, the eigenvalues of the non-isospectral Ablowitz–Ladik equations in the scattering data ar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::13feaff653389d46748b11abcd0dd024
https://doi.org/10.1016/j.chaos.2012.08.010
https://doi.org/10.1016/j.chaos.2012.08.010
Publikováno v:
Applied Mathematics and Computation. 218:2025-2035
A hierarchy of the inverse KdV equation is discussed. Through the bilinear form of Lax pairs, we prove a generalized Darboux–Crum theorem of the hierarchy. The Backlund transformation and the generalized Wronskian solutions are presented. The solit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e1153de5a0e1b2353eb9a9f78f6c6414
https://doi.org/10.1016/j.amc.2011.07.014
https://doi.org/10.1016/j.amc.2011.07.014
Publikováno v:
Communications in Theoretical Physics. 56:17-22
A direct method of constructing the Hamiltonian structure of the soliton hierarchy with self-consistent sources is proposed through computing the functional derivative under some constraints. The Hamiltonian functional is related with the conservatio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0cdd2d44acb01f3776a4d5714f9eb033
https://doi.org/10.1088/0253-6102/56/1/04
https://doi.org/10.1088/0253-6102/56/1/04
Publikováno v:
Journal of Shanghai University (English Edition). 15:157-165
Infinitely many conservation laws for some (1+1)-dimension soliton hierarchy with self-consistent sources are constructed from their corresponding Lax pairs directly. Three examples are given. Besides, infinitely many conservation laws for Kadomtsev-
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::816a0fda2b30b0cb6f149478beb92bd9
https://doi.org/10.1007/s11741-011-0714-1
https://doi.org/10.1007/s11741-011-0714-1
Publikováno v:
Journal of Shanghai University (English Edition). 14:410-414
By bilinear approach we derive N-soliton-like solutions for a variable coefficient KdV equation with some x-dependent coefficients. This equation can be considered as a non-isospectral variable coefficient KdV equation. Solutions in Hirota’s form a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8461f48382bd4028a068234e66d08914
https://doi.org/10.1007/s11741-010-0669-1
https://doi.org/10.1007/s11741-010-0669-1
Publikováno v:
International Journal of Modern Physics B. 24:5431-5437
In this paper, hierarchies of multi-component AKNS–Kaup–Newell equations are derived, including positive nonisospectral AKNS–Kaup–Newell hierarchy and negative nonisospectral AKNS–Kaup–Newell hierarchy. Moreover, new integrable couplings
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::acc7631c2f9ab1c9fefac88bf08b5864
https://doi.org/10.1142/s0217979210056815
https://doi.org/10.1142/s0217979210056815
Publikováno v:
Modern Physics Letters B. 24:1033-1042
By introducing suitable non-isospectral flows we construct two sets of symmetries for the isospectral differential-difference Kadomstev-Petviashvili hierarchy. The symmetries form an infinite dimensional Lie algebra.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0d3d0ac85f24a4bacb07ecdce1af6551
https://doi.org/10.1142/s0217984910023098
https://doi.org/10.1142/s0217984910023098