Affiliation:
1. Art-Science Faculty, Department of Mathematics-Computer, Eskisehir Osmangazi University, Eskisehir, Turkey
Abstract
Abstract
In this article, we constructed formal Lagrangian of Phi-4 equation, and then via this formal Lagrangian, we found adjoint equation. We investigated if the Lie point symmetries of the equation satisfy invariance condition or not. Then we used conservation theorem to find conservation laws of Phi-4 equation. Finally, the exact solutions of the equation were obtained through the (G′/G, 1/G)-expansion method.
Subject
Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics
Reference42 articles.
1. G. Compére, Symmetries and Conservation Laws in Lagrangian Gauge Theories with Applications to the Mechanics of Black Holes and to Gravity in Three Dimensions. Ph.D. thesis, Faculté des Sciences, Université Libre de Bruxells, 2007.
2. R. Naz, F. M. Mahomed, and D. P. Mason, Nonlinear Anal-Real 10, 3457 (2009).
3. G. W. Bluman and S. Kumei, Symmetries and Differential Equations with 21 Illustrations, Springer-Verlag, New York 1989.
4. F. Tascan and A. Yakut, Int. J. Nonlin. Sci. Num. 16, 191 (2015).
5. P. J. Olver, Application of Lie Groups to Differential Equations, Springer-Verlag, New York 1993.
Cited by
26 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献