zbMATH — the first resource for mathematics

Examples
Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
A hierarchy of non-isospectral multi-component AKNS equations and its integrable couplings. (English) Zbl 1209.37081
Summary: A hierarchy of non-isospectral multi-component AKNS equations is derived from an arbitrary order matrix spectral problem. As a reduction, non-isospectral multi-component Schrödinger equations are obtained. Moreover, new non-isospectral integrable couplings of the resulting AKNS soliton hierarchy are constructed by enlarging the associated matrix spectral problem.

MSC:
37K10Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies
35Q55NLS-like (nonlinear Schrödinger) equations
35Q51Soliton-like equations
WorldCat.org
Full Text: DOI
References:
[1] Ablowitz, M. J.; Clarkson, P. A.: Soliton, nonlinear evolution equation and inverse scattering. (1991) · Zbl 0762.35001
[2] Wadati, M.: Knot theory and integrable systems. Important developments in soliton theory. Springer series in nonlinear dynamics, 468-486 (1993) · Zbl 0813.35101
[3] Dickey, L. A.: Soliton equations and Hamiltonian systems. (2003) · Zbl 1140.35012
[4] Chen, D. Y.: Soliton introduction. (2006)
[5] Hikami, K.; Wadati, M.: J. math. Phys.. 44, 3569 (2003)
[6] Tu, G. Z.: J. math. Phys.. 30, 330 (1989)
[7] Hu, X. B.: J. phys. A: math. Gen.. 27, 2497 (1994)
[8] Hu, X. B.; Tam, H. W.: Inverse problems. 17, 319 (2001)
[9] Ma, W. X.; Xu, X. X.: Int. J. Theor. phys.. 43, 219 (2004)
[10] Xu, X. X.: Phys. lett. A. 301, 250 (2002)
[11] Zhang, D. J.; Chen, D. Y.: J. phys. A. 35, 7225 (2002)
[12] Sun, Y. P.; Chen, D. Y.; Xu, X. X.: Phys. lett. A. 359, 47 (2006)
[13] Sun, Y. P.; Chen, D. Y.; Xu, X. X.: Nonlinear anal.. 64, 2604 (2006)
[14] Sun, Y. P.; Chen, D. Y.: Chaos solitons fractals. 29, 978 (2006)
[15] Tsuchida, T.; Wadati, M.: J. phys. Soc. jpn.. 67, 1175 (1998)
[16] Tsuchida, T.; Wadati, M.: Phys. lett. A. 257, 53 (1999)
[17] Ma, W. X.: Phys. lett. A. 367, 473 (2007)
[18] Guo, F. G.; Zhang, Y. F.: J. math. Phys.. 44, 5793 (2003)
[19] Zhang, Y. F.: Phys. lett. A. 342, 82 (2005)
[20] Tam, H. W.; Zhang, Y. F.: Chaos solitons fractals. 23, 963 (2005)
[21] Ma, W. X.; Fuchssteiner, B.: Chaos solitons fractals. 7, 1227 (1997)
[22] Ma, W. X.: Methods appl. Anal.. 7, 21 (2000)
[23] Ma, W. X.; Fuchssteiner, B.: Phys. lett. A. 213, 49 (1996) · Zbl 0863.35106
[24] Ma, W. X.: Phys. lett. A. 316, 72 (2003)
[25] Ma, W. X.: J. math. Phys.. 46, 033507 (2005)
[26] Ma, W. X.; Xu, X. X.; Zhang, Y. F.: J. math. Phys.. 47, 053501 (2006)
[27] Ma, W. X.; Xu, X. X.; Zhang, Y. F.: Phys. lett. A. 351, 125 (2006)
[28] Ma, W. X.; Zhou, R. G.: Chin. ann. Math. ser. B. 23, 373 (2002)
[29] Ablowitz, M. J.; Kaup, D. J.; Newell, A. C.; Segur, H.: Stud. appl. Math.. 53, 249 (1974)