Inverse variational problem and canonical structure of Burgers equations

Journal of Mathematical Physics

Volumn 46, Issue 4, 2005, Pages

  Talukdar, B ^a   Ghosh, S ^a   Das, U ^b  

^a VISVA BHARATI UNIVERSITY   (India)

^b Abhedananda Mahavidyalaya College SAINTHIA   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17444401010     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1852700     Document Type: Article

References (23)

1. P. J. Olver, Applications of Lie Groups to Differential Equations, 2nd ed., Graduate Texts in Mathematics, Vol. 107 (Springer-Verlag, New York, 1993).
2. D. G. Crighton, in Basic Nonlinear Acoustics (Frontiers in physical acoustics), edited by, D. Sette, (North-Holland, Amsterdam, 1986).
3. C. S. Gardner, J. M. Greene, M. D. Kruskal, and R. M. Miura, Commun. Pure Appl. Math. 27, 97 (1974).
4. J. D. Cole, Q. Appl. Math. 0033-569X 9, 225 (1950); E. Hopf, Commun. Pure Appl. Math. 3, 201 (1950).
5. J. D. Cole, Q. Appl. Math. 0033-569X 9, 225 (1950); E. Hopf, Commun. Pure Appl. Math. 3, 201 (1950).
6. A. Pickering, J. Math. Phys. 35, 821 (1994).
7. E. Taflin, Phys. Rev. Lett. 47, 142 (1981).
8. V. E. Zakharov and L. D. Faddeev, Funct. Anal. Appl. 0016-2663 5, 18 (1971); C. S. Gardner, J. Math. Phys. 12, 1548 (1971).
9. V. E. Zakharov and L. D. Faddeev, Funct. Anal. Appl. 0016-2663 5, 18 (1971); C. S. Gardner, J. Math. Phys. 12, 1548 (1971).
10. H. Tasso, J. Phys. A 29, 7779 (1996).
11. H. Helmholtz, J. Reine Angew. Math. 100, 137 (1887).
12. T. Frankel, The Geometry of Physics (Cambridge University Press, New York, 1997).
13. H. Bateman, Phys. Rev. 38, 815 (1931).
14. C. Caratheodory, Calculus of Variations and Partial Differential Equations of the First Order (Holden-Day, Inc., San Francisco, 1967), Vol. 2.
15. M. Ostrogradski, Mem. Ac. St. Petersburg 1, 385 (1850); E. T. Whitaker, A Treatise on the Analytical Dynamics of Particles and Rigid Bodies (Cambridge University Press, Cambridge, 1965).
16. M. Ostrogradski, Mem. Ac. St. Petersburg 1, 385 (1850); E. T. Whitaker, A Treatise on the Analytical Dynamics of Particles and Rigid Bodies (Cambridge University Press, Cambridge, 1965).
17. P. A. M. Dirac, Lectures on Quantum Mechanics, Belfer Graduate School Monograph Series No. 2 (Yeshiva University, New York, 1964).
18. S. A. Hojman and L. F. Urrutia, J. Math. Phys. 22, 1896 (1981).
19. M. Herrera and S. A. Hojman, J. Phys. A 0305-4470 34, 6135 (2001); S. A. Hojman and L. C. Shepley, Found. Phys. 16, 5 (1986); M. D. Bustamante and S. A. Hojman, arXiv: math-ph/0109026.
20. M. Herrera and S. A. Hojman, J. Phys. A 0305-4470 34, 6135 (2001); S. A. Hojman and L. C. Shepley, Found. Phys. 16, 5 (1986); M. D. Bustamante and S. A. Hojman, arXiv: math-ph/0109026.
21. M. Herrera and S. A. Hojman, J. Phys. A 0305-4470 34, 6135 (2001); S. A. Hojman and L. C. Shepley, Found. Phys. 16, 5 (1986); M. D. Bustamante and S. A. Hojman, arXiv: math-ph/0109026.
22. L. D. Faddeev and R. Jackiw, Phys. Rev. Lett. 60, 1692 (1988).
23. Y. Nutku, J. Phys. A 16, 4195 (1983).