Purely imaginary eigenvalues of Zakharov-Shabat systems

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 65, Issue 3, 2002, Pages

  Klaus, M ^a   Shaw, J K ^a  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPLEX NUMBERS; COMPLEX VALUED FUNCTIONS; FIRST-ORDER DIFFERENTIAL EQUATIONS; INVERSE SCATTERING TRANSFORM (IST) THEORY;

DIFFERENTIAL EQUATIONS; INTEGRAL EQUATIONS; NUMBER THEORY; SOLITONS; THEOREM PROVING;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 41349122386     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.036607     Document Type: Article

References (16)

1. M. Ablowitz and H. Segur, Solitons and the Inverse Scattering Transform (SIAM, Philadelphia, 1981).
2. S. Novikov, S. V. Manikov, L. P. Pitaevskii, and V. E. Zakharov, Theory of Solitons: The Inverse Scattering Method (Consultants Bureau, New York, 1984).
3. G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic, New York, 1995).
4. Z. V. Lewis, Phys. Lett. 112A, 99 (1985).
5. K. J. Blow and D. Wood, Opt. Commun. 58, 349 (1986).
6. C. Desem and P. L. Chu, Opt. Lett. 11, 248 (1986).
7. J. Satsuma and N. Yajima, Suppl. Prog. Theor. Phys. 55, 284 (1974).
8. D. Anderson, M. Lisak, and T. Reichel, J. Opt. Soc. Am. B 5, 207 (1988).
9. A. I. Maimistov and Y. M. Sklyarov, Kvant. Elektron. 14, 796 (1987)[Sov. J. Quantum Electron. 17, 500 (1987)].
10. M. N. Belov, Kvant. Elektron. 14, 1627 (1987)[Sov. J. Quantum Electron. 17, 1033 (1987)].
11. J. W. Miles, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 41, 227 (1981).
12. M. Klaus and J. K. Shaw, Opt. Commun. 197, 491(2001).
13. M. Jaworski, Phys. Rev. E 56, 6142 (1997).
14. V. E. Zakharov and A. B. Shabat, Zh. Eksp. Teor. Fiz. 61, 118 (1971)
15. V. E. ZakharovA. B. Shabat[Sov. Phys. JETP 34, 62 (1972)].
16. J. C. Bronski, Physica D 97, 376 (1996).