Excitation of multiphase waves of the nonlinear Schrödinger equation by capture into resonances

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 71, Issue 3, 2005, Pages

  Friedland, L ^a   Shagalov, A G ^b  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

^b INSTITUTE OF METAL PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ADIABATIC EXCITATION; INVERSE SCATTERING TRANSFORMS (IST); MULTIPHASE WAVES; NONLINEAR SCHRÖDINGER EQUATIONS (NLSE);

COMPUTER SIMULATION; FREQUENCIES; FUNCTIONS; PLASMA WAVES; RESONANCE; WATER WAVES;

NONLINEAR EQUATIONS;

EID: 37649032347     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.71.036206     Document Type: Article

References (27)

1. M. J. Ablowitz and H. Segur, Solitons and the Inverse Scattering Transform (SIAM, Philadelphia, 1981).
2. S. C. Gardner, J. M. Greene, M. D. Kruskal, and R. M. Miura, Phys. Rev. Lett. 19, 1095 (1967).
3. V. E. Zakharov and A. B. Shabat, Sov. Phys. JETP 34, 62 (1972).
4. Y. Ma and M. J. Ablowitz, Stud. Appl. Math. 65, 113 (1981).
5. E. R. Tracy and H. H. Chen, Phys. Rev. A 37, 815 (1988).
6. M. Deutsch, B. Meerson, and J. Golub, Phys. Fluids B 3, 1773 (1991).
7. I. Aranson, B. Meerson, and T. Tajima, Phys. Rev. A 45, 7500 (1992).
8. L. Friedland, Phys. Fluids B 4, 3199 (1992).
9. L. Friedland, Phys. Rev. Lett. 69, 1749 (1992).
10. L. Friedland, Phys. Rev. E 55, 1929 (1997).
11. L. Friedland, Phys. Rev. E 57, 3494 (1998).
12. L. Friedland, Phys. Rev. E 58, 3865 (1998).
13. L. Friedland and A. G. Shagalov, Phys. Rev. Lett. 81, 4357 (1998).
14. L. Friedland, Phys. Rev. E 59, 4106 (1999).
15. L. Friedland and A. G. Shagalov, Phys. Rev. Lett. 85, 2941 (2000).
16. L. Friedland and A. G. Shagalov, Phys. Fluids 14, 3074 (2002).
17. L. Friedland and A. G. Shagalov, Phys. Rev. Lett. 90, 074101 (2003).
18. M. Khasin and L. Friedland, Phys. Rev. E 68, 066214 (2003).
19. E. R. Tracy, H. H. Chen, and Y. C. Lee, Phys. Rev. Lett. 53, 218 (1984).
20. G. B. Whitham, Linear and Nonlinear Waves (Wiley, New York, 1974).
21. C. Canuto, M. Y. Hussaini, A. Quarteroni, and T. A. Zang, Spectral Methods in Fluid Dynamics (Springer-Verlag, New York, 1988).
22. S. Ahmad and A. R. Chawdhury, J. Math. Phys. 28, 134 (1987).
23. J. Fajans, E. Gilson, and L. Friedland, Phys. Rev. Lett. 82, 4444 (1999).
24. L. Friedland, Astrophys. J. Lett. 547, L75 (2001).
25. E. Grosfeld and L. Friedland, Phys. Rev. E 65, 046230 (2002).
26. G. Marcus, L. Friedland, and A. Zigler, Phys. Rev. A 69, 013407 (2004).
27. L. Friedland, Phys. Plasmas 5, 645 (1998).