On an integrable hierarchy derived from the isentropic gas dynamics

Journal of Mathematical Physics

Volumn 45, Issue 7, 2004, Pages 2633-2645

  Brunelli, J C ^a   Das, Ashok ^b  

^a FEDERAL UNIVERSITY OF SANTA CATARINA   (Brazil)

^b UNIVERSITY OF ROCHESTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3543150886     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1756699     Document Type: Article

References (23)

1. G. B. Whitham. Linear and Nonlinear Waves (Wiley, New York. 1974).
2. B. A. Dubrovin and S. P. Novikov. Russ. Math. Surveys 44, 35 (1989).
3. J. Verosky, J. Math. Phys. 25, 884 (1984); M. B. Sheftel, Fund. Anal. Appl. 20, 227 (1986); J. Verosky, J. Math. Phys. 27, 3061 (1986); Y. Nutku, ibid. 28, 2579 (1987).
4. J. Verosky, J. Math. Phys. 25, 884 (1984); M. B. Sheftel, Fund. Anal. Appl. 20, 227 (1986); J. Verosky, J. Math. Phys. 27, 3061 (1986); Y. Nutku, ibid. 28, 2579 (1987).
5. J. Verosky, J. Math. Phys. 25, 884 (1984); M. B. Sheftel, Fund. Anal. Appl. 20, 227 (1986); J. Verosky, J. Math. Phys. 27, 3061 (1986); Y. Nutku, ibid. 28, 2579 (1987).
6. J. Verosky, J. Math. Phys. 25, 884 (1984); M. B. Sheftel, Fund. Anal. Appl. 20, 227 (1986); J. Verosky, J. Math. Phys. 27, 3061 (1986); Y. Nutku, ibid. 28, 2579 (1987).
7. P. J. Olver and Y. Nutku, J. Math. Phys. 29, 1610 (1988).
8. J. C. Brunelli and A. Das. Phys. Lett. A 235, 597 (1997).
9. F. Magri, J. Math. Phys. 19, 1156 (1978).
10. P. J. Olver, Applications of Lie Groups to Differential Equations, 2nd ed. (Springer, Berlin. 1993).
11. J. C. Brunelli and G. A. T. F. da Costa, J. Math. Phys. 43, 6116 (2002).
12. J. C. Brunelli, A. Das, and Z. Popowicz, J. Math Phys. 45, 2646 (2004).
13. A. Das and S. Roy. Mod. Phys. Lett. A 16, 1317 (1996).
14. J. K. Hunter and Y. Zheng, Physica D 79, 361 (1994).
15. M. D. Kruskal, Lecture Notes in Physics, Vol. 38 (Springer, Berlin, 1975), p. 310; W. Hereman, P. P. Banerjee, and M. R. Chatterjee, J. Phys. A 22, 241 (1989).
16. M. D. Kruskal, Lecture Notes in Physics, Vol. 38 (Springer, Berlin, 1975), p. 310; W. Hereman, P. P. Banerjee, and M. R. Chatterjee, J. Phys. A 22, 241 (1989).
17. S. Okubo and A. Das, Phys. Lett. B 209. 311 (1988); A. Das and S. Okubo, Ann. Phys. (N.Y.) 190, 215 (1989).
18. S. Okubo and A. Das, Phys. Lett. B 209. 311 (1988); A. Das and S. Okubo, Ann. Phys. (N.Y.) 190, 215 (1989).
19. J. C. Brunelli and A. Das, Mod. Phys. Lett. A 10, 931 (1995).
20. T. Curtright, Phys. Lett. B 88, 276 (1979).
21. V. G. Drinfeld and V. V. Sokolov. J. Sov. Math. 30, 1975 (1985): Sov. Math. Dokl. 23, 457 (1981).
22. V. G. Drinfeld and V. V. Sokolov. J. Sov. Math. 30, 1975 (1985): Sov. Math. Dokl. 23, 457 (1981).
23. H. Aratyn. A. Das, C. Rasinariu, and A. H. Zimerman, Lect. Notes Phys. 502, 213 (1998).