Inverse variational problem for nonlinear evolution equations

International Journal of Theoretical Physics

Volumn 44, Issue 3, 2005, Pages 363-373

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

^a VISVA BHARATI UNIVERSITY   (India)

^b Abhedananda Mahavidyalaya College SAINTHIA   (India)

Author keywords

Compacton solutions; Evolution equations; Fully nonlinear

Indexed keywords

EID: 21244464678     PISSN: 00207748     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10773-005-3645-x     Document Type: Article

References (21)

1. Blanchard, Ph. and Brüning, E. (1992). Variational Methods in Mathematical Physics, Springer-Verlag, NY.
2. Calogero, F. (1982). Spectral Transform and Solitons, Vol I, North-Holland Pub. Co., NY.
3. Cooper, F., Hyman, J. M., and Khare, A. (2001). Physical Review E 64, 026608.
4. Cooper, F., Shepard, H., and Sodano, P. (1993). Physical Re view E 48, 4027.
5. Currie, D. J. and Saletan, E. J. (1966). Journal of Mathematical Physics 7, 967.
6. Dey, B. and Khare, A. (2000). Journal of Physics A 33, 5335.
7. Dirac, P. A. M. (1964). Lectures on Quantum Mechanics, Belfer Graduate School Monograph Series No. 2, Yeshiva University, NY.
8. Gardner, C. S. (1971). J. Math. Phys. 12, 1548.
9. Ghosh, S., Talukdar, B., and Shamanna, J. (2003). Czechoslovak Journal of Physics 53, 425.
10. Lax, P. D. (1968). Communications on Pure and Applied Mathematics 21, 467.
11. Olver, P. J. (1993). Applications of Lie Groups to Differential Equations, Springer-Verlag, NY.
12. Olver, P. J. and Rosenau, P. (1996). Physical Review E 53, 1900.
13. Rosenau, P. (1997). Physics Letters A 230, 305.
14. Rosenau, P. (1999). Physics Letters A 252, 297.
15. Rosenau, P. and Hyman, J. M. (1993). Physical Review Letters 70, 564.
16. Santili, R. M. (1984). Foundations of Theoretical Mechanics I, Springer-Verlag, NY.
17. Sudarshan, E. C. G. and Mukanda, N. (1974). Classical Dynamics: A Modern Perspective, John Wiley and Sons, NY.
18. Talukdar, B., Ghosh, S., Shamanna, J., and Sarkar, P. (2002). European Physical Journal D 21, 105.
19. Talukdar, B., Shamanna, J., and Ghosh, S. (2003). Pramana - Journal of Physics 61, 99.
20. Wolfram, S. (2000). Mathematica: A system for doing mathematics by computer, Version 4.1, Wolfram Research Inc., NY.
21. Zakharov, V. E. and Faddeev, L. D. (1971). Functional Analysis and Application 5, 18.