A class of integrable expanding model for the coupled AKNS - Kaup - Newell soliton hierarchy

Chinese Physics

Volumn 14, Issue 5, 2005, Pages 869-874

  Yang, Hong Xiang ^a   Xu, Xi Xiang ^b  

^a Taishan College   (China)

^b SHANDONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Coupled AKNS Kaup Newell soliton hierarchy; Integrable coupling; Loop Lie algebra

Indexed keywords

ALGEBRA; INTEGRAL EQUATIONS; INTEGRATION; MATHEMATICAL MODELS; PROBLEM SOLVING;

COUPLED AKNS-KAUP-NEWELL HIERARCHY; INTEGRABLE COUPLING; ISOSPECTRAL PROBLEMS; LOOP LIE ALGEBRA;

SOLITONS;

EID: 24144494177     PISSN: 10091963     EISSN: None     Source Type: Journal    
DOI: 10.1088/1009-1963/14/5/001     Document Type: Article

References (22)

1. Fuchssteiner B 1993 Application of Analytic and Geometric Methods to Nonlinear Differential Equations edited by Clarkson P A (Dordrecht: Kluwer) p125
2. Tamizhmani K M and Lakshmanma M 1983 J. Phys. A: Math. Gen. 16 3773
3. Lakshmananm M and Tamizhani K M 1985 J. Math. Phys. 26 1189
4. Ma W X and Fuchssteiner B 1996 Chaos, Solitons Fractals 7 1227
5. Guo F K 1999 Acta Math. Sci. 19 507 (in Chinese)
6. Guo F K and Zhang Y F 2002 Acta Phys. Sin. 51 951 (in Chinese)
7. Zhang Y F and Zhang H Q 2002 J. Math. Phys. 43 466
8. Yan Z Y and Zhang H Q 2002 J. Math. Phys. 43 4978
9. Zhang Y F and Zhang H Q 2002 J. Math. Res. Exposit. 22 289 (in Chinese)
10. Zhang Y F, Yan Q Y et al 2003 Acta. Phys. Sin. 1 5 (in Chinese)
11. Zhang B C 1997 Ann. Diff. Eqns. 13 408
12. Ma W X and Zhou R G 1999 J. Nonlinear Math. Phys. 40 4419
13. Tu G Z 1989 J. Math. Phys. 30 330
14. Ma W X 2003 Phys. Lett. A 316 72
15. Xu X X 2002 Phys. Lett. A 3 250
16. Xu X X 1999 Acta Math. Sci. 19 505
17. Yan Q Y, Zhang Y F et al 2003 Chin. Phys. 12 581
18. Ding H Y, Xu X X et al 2004 Chin. Phys. 13 125
19. Zhang J F 2002 Chin. Phys. 11 651
20. Yan Q Y, Zhang Y F and Xu X X 2003 Chin. Phys. 12 131
21. Zhang Y F and Yan Q Y 2004 Chin. Phys. 13 1183
22. Zhang J F 2002 Chin. Phys. 11 425