Nonlinear self-adjointness and conservation laws

Journal of Physics A: Mathematical and Theoretical

Volumn 44, Issue 43, 2011, Pages

  Ibragimov, N H ^a  

^a BLEKINGE INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 80054089040     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/44/43/432002     Document Type: Article

References (19)

1. Ibragimov N H 2006 Integrating factors, adjoint equations and Lagrangians J. Math. Anal. Appl. 318 74257 (Pubitemid 43422444)
2. Ibragimov N H 2007 A new conservation theorem J. Math. Anal. Appl. 333 31128
3. Ibragimov N H 2007 Quasi self-adjoint differential equations Arch. ALGA 4 5560
4. Ibragimov N H 1983 Transformation Groups Applied to Mathematical Physics (Moscow: Nauka) (Engl. transl.: 1985, Dordrecht: Reidel)
5. Rogers C 1985 Application of a reciprocal transformation to a two phase Stefan problem J. Phys. A: Math. Gen. 18 L1059
6. Rogers C 1986 On a class of moving boundary value problems in nonlinear heat conduction: application of a Bcklund transformation Int. J. Nonlinear Mech. 21 24956
7. Kompaneets A S 1956 The establishment of thermal equilibrium between quanta and electrons Z. Eksp. Teor. Fiz 31 87685
8. Kompaneets A S 1957 Sov. Phys.JETP 4 730 (Engl. transl.)
9. Kadomtsev B B and Petviashvili V I 1970 On stability of solitary waves in weakly dispersive media Dokl. Akad. Nauk SSSR 192 7536
10. Kadomtsev B B and Petviashvili V I 1970 Sov. Phys. Dokl. 15 53942 (Engl. transl.)
11. Novikov S, Manakov S V, Pitaevskii L P and Zakharov V E 1984 Theory of Solitons: The Inverse Scattering Method (New York: Consultants Bureau)
12. David D, Kamran N, Levi D and Winternitz P 1985 Subalgebras of loop algebras and symmetries of the KadomtsevPetviashvili equation Phys. Rev. Lett. 55 21113
13. Rogers C and Ames W F 1989 Nonlinear Boundary Value Problems in Science and Engineering (Boston, MA: Academic)
14. Zakharov V E and Schulman E I 1980 Degenerative dispersion laws, motion invariants and kinetic equations Physica D 1 192202
15. Oevel W and Fuchssteiner B 1982 Explicit formulas for symmetries and conservation laws of the KadomtsevPetviashvili equation Phys. Lett. A 88 3237
16. Infeld E and Frycz P 1983 Infinite sequences of conservation laws for the KadomtsevPetviashvili equation Acta Phys. Pol. B 14 12932
17. Dorodnitsyn V A and Svirshchevskii S R 1983 On LieBcklund Groups Admitted by the Heat Equation with a Source preprint 101 (Moscow: Institute of Applied Mathematics, USSR Academy of sciences)
18. Steinberg S and Wolf K B 1981 Symmetry, conserved quantities and moments in diffusive equations J. Math. Anal. Appl. 80 3645
19. Popovych R O and Sergyeyev A 2010 Conservation laws and normal forms of evolution equations Phys. Lett. A 374 22107