Integrability of the vector short pulse equation

Journal of the Physical Society of Japan

Volumn 77, Issue 12, 2008, Pages

  Sakovich, Sergei ^a  

^a B I STEPANOV INSTITUTE OF PHYSICS   (Belarus)

Author keywords

Integrability test; Painlev property; Transformations; Vector short pulse equation

Indexed keywords

EID: 57549116674     PISSN: 00319015     EISSN: 13474073     Source Type: Journal    
DOI: 10.1143/JPSJ.77.123001     Document Type: Article

References (26)

1. T. Schäfer and C. E. Wayne: Physica D 196 (2004) 90.
2. M. L. Rabelo: Stud. Appl. Math. 81 (1989) 221.
3. R. Beals, M. Rabelo, and K. Tenenblat: Stud. Appl. Math. 81 (1989) 125.
4. A. Sakovich and S. Sakovich: J. Phys. Soc. Jpn. 74 (2005) 239.
5. M. Wadati, K. Konno, and Y. H. Ichikawa: J. Phys. Soc. Jpn. 47 (1979) 1698.
6. A. Sakovich and S. Sakovich: J. Phys. A 39 (2006) L361.
7. A. Sakovich and S. Sakovich: SIGMA 3 (2007) 086.
8. J. C. Brunelli: J. Math. Phys. 46 (2005) 123507.
9. J. C. Brunelli: Phys. Lett. A 353 (2006) 475.
10. V. K. Kuetche, T. B. Bouetou, and T. C. Kofane: J. Phys. Soc. Jpn. 76 (2007) 024004.
11. Y. Matsuno: J. Phys. Soc. Jpn. 76 (2007) 084003.
12. E. J. Parkes: Chaos Solitons Fractals 38 (2008) 154.
13. Y. Matsuno: J. Math. Phys. 49 (2008) 073508.
14. M. Pietrzyk, I. Kanattšikov, and U. Bandelow: J. Nonlinear Math. Phys. 15 (2008) 162.
15. S. V. Manakov: Sov. Phys. JETP 38 (1974) 248.
16. M. J. Ablowitz, B. Prinari, and A. D. Trubatch: Dyn. Partial Differ. Equations 1 (2004) 239.
17. J. Weiss, M. Tabor, and G. Carnevale: J. Math. Phys. 24 (1983) 522.
18. M. Tabor: Chaos and Integrability in Nonlinear Dynamics: An Introduction (Wiley, New York, 1989).
19. A. Ramani, B. Grammaticos, and T. Bountis: Phys. Rep. 180 (1989) 159.
20. S. Wolfram: The Mathematica Book (Wolfram Media, Champaign, IL, 2003) 5th ed.
21. R. S. Ward: Philos. Trans. R. Soc. London, Ser. A 315 (1985) 451.
22. S. Yu. Sakovich: solv-int/9909027.
23. I. G. Petrovskii: Lectures on Partial Differential Equations (Wiley, New York, 1954).
24. P. A. Clarkson: Phys. Lett. A 109 (1985) 205.
25. M. Daniel, M. D. Kruskal, M. Lakshmanan, and K. Nakamura: J. Math. Phys. 33 (1992) 771.
26. S. Yu. Sakovich: J. Nonlinear Math. Phys. 6 (1999) 255.