A symmetry invariance analysis of the multipliers & conservation laws of the Jaulent-Miodek and some families of systems of KdV type equations

Journal of Nonlinear Mathematical Physics

Volumn 16, Issue SUPPL. 1, 2009, Pages 149-156

  Kara, A H ^a  

^a UNIVERSITY OF THE WITWATERSRAND   (South Africa)

Author keywords

Jaulent Miodek equations; multipliers; Symmetry invariance

Indexed keywords

EID: 77955661157     PISSN: 14029251     EISSN: None     Source Type: Journal    
DOI: 10.1142/S1402925109000376     Document Type: Conference Paper

References (8)

1. M. Jaulent and I. Miodek, Nonlinear evolution equations associated with "energy dependent Schrödinger potentials", Letters in Mathematical Physics 1 (1976) 243-250.
2. F. G. Guererro and L. M. Alonso, Hamiltonian formulation for the Jaulent-Miodek family of nonlinear evolution equations, Lettere al Nuovo Cimento 27(1) (1980) 28-31.
3. C. Laddomada and T. Gui-Zhang, Bäcklund transformations of the Jaulent-Miodek equations, Letters in Mathematical Physics 6 (1982) 453-462.
4. D. D. Ganji, M. Jannatabadi and E. Mohseni, Application of Hes variational iteration method to nonlinear Jaulent-Miodek equations and comparing it with ADM, J. Computational Applied Mathematics 207 (2007) 35-45.
5. A. H. Kara and F. M. Mahomed, Relationaship between symmetries and conservation laws, Int. J. Theoretical Physics 39(1) (2000) 23-40.
6. A. H. Kara and F. M. Mahomed, A basis of conservation laws for partial differential equations, J. Nonlinear Math. Phys. 9 (2002) 60-72.
7. N. Euler and M. Euler, On nonlocal symmetries and nonlocal conservation laws and nonlocal transformations of evolution equations: Two linearisable hierarchies, J. Nonlinear Mathematical Physics, arXiv: 0811.1105.
8. L. A. Ostrovsky and J. Grue, Evolution equations for strongly nonlinear internal waves, Physics of Fluids 15(10) (2003) 2934-2948.