Three nonlinear integrable couplings of the nonlinear Schrödinger equations

Communications in Nonlinear Science and Numerical Simulation

Volumn 16, Issue 11, 2011, Pages 4232-4237

  Hui, Wang ^a   Tie Cheng, Xia ^a  

^a SHANGHAI UNIVERSITY   (China)

Author keywords

Liouville integrable hierarchy; Nonlinear integrable coupling; Nonlinear Schr dinger equations; Variational identity

Indexed keywords

COUPLINGS; LIOUVILLE EQUATION; NONLINEAR EQUATIONS;

HAMILTONIAN STRUCTURES; INTEGRABLE HIERARCHY; ISOSPECTRAL PROBLEMS; LIE ALGEBRA; LIOUVILLE; LIOUVILLE INTEGRABLE HIERARCHY; NONLINEAR INTEGRABLE COUPLINGS; NONLINEAR SCHRÖDINGE EQUATION; VARIATIONAL IDENTITY; ZERO-CURVATURE EQUATION;

ALGEBRA;

EID: 79957913431     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2011.03.034     Document Type: Article

References (22)

1. Zakharov V.E., Shabat A.B., Eksp Zh. Teor Fiz 1971, 61:118. [Sov Phys JETP 34, 1972, 62].
2. Fordy A.P., Kulish P.P. Commun Math Phys 1983, 89:427.
3. Serkin V.N., Hasegawa A. Phys Rev Lett 2000, 85:4502.
4. Tsuchida T., Ujino H., Wadati M. J Phys A: Math Gen 1999, 32:2239.
5. Wang D.S., Zhang D.J., Yang J.K. J Math Phys 2010, 51:023510.
6. Wang H., Wang X.Z., Liu G.D., Yang J.M. Commun Theor Phys 2010, 54:407.
7. Manakov S.V. Zh Eksp Teor Fiz 1973, 65:1392. [Sov Phys JETP 38, 1974, 248].
8. Mikhailov A.V. Phys D 1981, 3:73.
9. Zakharov V.E., Schulman E.I. Phys D 1982, 4:270.
10. Ma W.X., Fuchssteiner B. Chaos Solitons Fractals 1996, 7:1227.
11. Ma W.X., Fuchssteiner B. Phys Lett A 1996, 213:49.
12. Ma W.X. Methods Appl Anal 2000, 7:21.
13. Ma W.X. Phys Lett A 2003, 316:72.
14. Zhang Y.F., Zhang H.Q. J Math Phys 2002, 43:466.
15. Guo F.K., Zhang Y.F. J Math Phys 2003, 44:5793.
16. Xia T.C., You F.C. Chaos Solitons Fractals 2005, 26:605.
17. Xia T.C., Wang H., Zhang Y.F. Chin Phys 2005, 14:247.
18. Xia T.C., You F.C. Chaos Solitons Fractals 2006, 28:938.
19. Dong H.H., Zhang N. Commun Theor Phys 2005, 44:997.
20. Dong H.H., Gong X.B. Chaos Solitons Fractals 2007, 33:945.
21. Wang Y.H., Dong H.H., He B.Y., Wang H. Commun Theor Phys 2010, 53:619.
22. Ma W.X. Nonlinear analysis: theory. Methods Appl 2009, 1:1716.