References
- Olver , P . 1986 . Application of Lie groups to differential equations , New York : Springer-Verlag .
- Bluman , G and Kumei , S . 1986 . Symmetries and Differential Equations , New York : Springer .
- Kara , A H and Khalique , C M . 2005 . Nonlinear evolution type equations and their exact solutions using inverse variational methods . J. Phys. A , 38 : 4629 – 4636 .
- Kara , A H , Mahomed , F M and Adam , A A . 1994 . Reduction of differential equations using Lie and Noether symmetries associated with first integrals . Lie Groups and Their Applications , 1 : 137 – 145 .
- Kara , A H , Mahomed , F M and Vawda , F E . 1994 . Symmetries of first integrals and solutions of differential equations . Lie Groups and their Applications , 2 : 27 – 48 .
- Goodman , R H and Haberman , R . 2005 . Kink-Antikink collisions in the ϕ — 4 equation: The n Bounce Resonance and the Separatix Map . SIAM J. App. Dyn. Sys. , 4 ( 4 ) : 1198 – 1228 .
- Oxtoby , O F , Pelinovsky , D E and Barashenkov , I . 2006 . Travelling kinks in discrete ϕ — 4 models . Nonlinearity , 19 : 217 – 235 .
- Nayfeh , A H . 1979 . Perturbation Methods , New York : Wiley .
- Nayfeh , A H . 1981 . Introduction to Perturbation Techniques , New York : Wiley .
- Baikov , V A , Gazizov , R K and Ibragimov , N H . 1996 . “ in CRC Handbook of Lie Group Analysis of Differential Equations ” . In Approximate symmetries of perturbed differential equations , Edited by: Ibragimov , N.H. Vol. 3 , Boca Raton, Florida : CRC Press .