Integrating factors, adjoint equations and Lagrangians

Journal of Mathematical Analysis and Applications

Volumn 318, Issue 2, 2006, Pages 742-757

  Ibragimov, Nail H ^a  

^a BLEKINGE INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

Adjoint equation to non linear equations; Integrating factor for higher order equations; Lagrangian; Noether's theorem

Indexed keywords

EID: 33645079170     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2005.11.012     Document Type: Article

References (9)

1. E. Bessel-Hagen Über die Erhaltungssätze der Elektrodynamik Math. Ann. 84 1921 258-276
2. R. Courant D. Hilbert Methods of Mathematical Physics. Vol. II: Partial Differential Equations, by R. Courant 1989 Interscience, Wiley New York
3. N.H. Ibragimov Lie-Bäcklund groups and conservation laws Dokl. Akad. Nauk SSSR 230 1 1976 26-29 English transl.
4. N.H. Ibragimov Sur l'équivalence des équations d'évolution, qui admettent une algébre de Lie-Bäcklund infinie C. R. Acad. Sci. Paris Sér. I 293 1981 657-660
5. N.H. Ibragimov Transformation Groups Applied to Mathematical Physics 1983 Nauka Moscow English transl. 1985 Riedel Dordrecht
6. N.H. Ibragimov Elementary Lie Group Analysis and Ordinary Differential Equations 1999 Wiley Chichester
7. N.H. Ibragimov T. Kolsrud Lagrangian approach to evolution equations: Symmetries and conservation laws Nonlinear Dynamics 36 1 2004 29-40
8. L.D. Landau E.M. Lifshitz Field Theory. Course of Theoretical Physics, vol. 2 fourth revised ed. 1962 Fizmatgiz English transl. The Classical Theory of Fields fifth ed. 1971 Pergamon New York
9. E. Noether Invariante Variationsprobleme Königliche Gesellschaft der Wissenschaften, Göttingen Math. Phys. Kl. 1918 235-257 English transl.