Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Zeng Yun-Bo"'
Publikováno v:
Communications in Theoretical Physics. 53:403-412
Regarded as the integrable generalization of Camassa–Holm (CH) equation, the CH equation with self-consistent sources (CHESCS) is derived. The Lax representation of the CHESCS is presented. The conservation laws for CHESCS are constructed. The peak
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3ebb1858e7b60afe3720beab766d2e38
https://doi.org/10.1088/0253-6102/53/3/02
https://doi.org/10.1088/0253-6102/53/3/02
Autor:
Zeng Yun-Bo, Yao Yu-Qin
Publikováno v:
Communications in Theoretical Physics. 52:193-202
Integrable Rosochatius deformations of finite-dimensional integrable systems are generalized to the soliton hierarchy with self-consistent sources. The integrable Rosochatius deformations of the Kaup–Newell hierarchy with self-consistent sources, o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d8f2b5ef63177e0319bc75b6e1dd258a
https://doi.org/10.1088/0253-6102/52/2/01
https://doi.org/10.1088/0253-6102/52/2/01
Publikováno v:
Communications in Theoretical Physics. 51:193-199
We firstly propose two kinds of new multi-component BKP (mcBKP) hierarchy based on the eigenfunction symmetry reduction and nonstandard reduction, respectively. The first one contains two types of BKP equation with self-consistent sources whose Lax r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::27d5d15872e0387288910d6a1b8d1a1e
https://doi.org/10.1088/0253-6102/51/2/01
https://doi.org/10.1088/0253-6102/51/2/01
Publikováno v:
Communications in Theoretical Physics. 49:1091-1100
The coupled Korteweg-de Vries (CKdV) equation with self-consistent sources (CKdVESCS) and its Lax representation are derived. We present a generalized binary Darboux transformation (GBDT) with an arbitrary time-dependent function for the CKdVESCS as
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8b018a2257dbf11df425102b8d1e6de8
https://doi.org/10.1088/0253-6102/49/5/02
https://doi.org/10.1088/0253-6102/49/5/02
Publikováno v:
Communications in Theoretical Physics. 49:529-534
Darboux transformation (DT) provides us with a comprehensive approach to construct the exact and explicit solutions to the negative extended KdV (eKdV) equation, by which some new solutions such as singular soliton, negaton, and positon solutions are
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::24e857147d5aa45be0360684f13709e5
https://doi.org/10.1088/0253-6102/49/3/01
https://doi.org/10.1088/0253-6102/49/3/01
Publikováno v:
Communications in Theoretical Physics. 38:641-644
We present integral-type Darboux transformation for the mKdV hierarchy and for the mKdV hierarchy with self-consistent sources. In contrast with the normal Darboux transformation, the integral-type Darboux transformations can offer non-auto-Backlund
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6bb8965be1cd872e98db270114daa039
https://doi.org/10.1088/0253-6102/38/6/641
https://doi.org/10.1088/0253-6102/38/6/641
Autor:
Zeng Yun-Bo
Publikováno v:
Acta Mathematicae Applicatae Sinica. 15:337-344
By using Lax representation, we study the separation of variables forx– andt n– finitedimensional integrable Hamiltonian system (FDIHS) obtained from the factorization of AKNS hierarchy. Then the separability ofx– andt n–FDIHS and the factori
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::012088df06e9f0f23e1a647ad503a5fb
https://doi.org/10.1007/bf02684033
https://doi.org/10.1007/bf02684033
Autor:
Zeng Yun-Bo
Publikováno v:
Acta Mathematicae Applicatae Sinica. 14:176-184
The restricted flows of a hierarchy of discrete integrable systems are presented. It is shown that integrals of motion and Lax representation for restricted flows as well as a discrete zerocurvature representation for the hierarchy with sources can b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0e1fbeb185bcde055dbe61c17c5330ca
https://doi.org/10.1007/bf02677424
https://doi.org/10.1007/bf02677424
Autor:
Li Yishen, Zeng Yun-Bo
Publikováno v:
Acta Mathematica Sinica. 12:217-224
By using a general scheme for decomposing a zero-curvature equation into two commutingx- andtn-finite-dimensional integrable Hamiltonian systems (FDIHS), a systematic deduction of the Lax representation for all constrained flows of the AKNS hierarchy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::14d5e30fd5705e34f214d43f61940ec5
https://doi.org/10.1007/bf02108164
https://doi.org/10.1007/bf02108164
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