论文信息 - Study of a fifth order PDE using symmetries

Study of a fifth order PDE using symmetries

We study a family of PDEs, which was derived as an approximation of an extended Lotka-Volterra system, from the point of view of symmetries. Also, by performing the self adjoint classification on that family we offer special cases possessing non trivial conservation laws. Using both classifications we justify the particular cases studied in the literature, and we give additional cases that may be of importance.

Igor Leite Freire | Stylianos Dimas | S. Dimas

[1] N. Ibragimov. A new conservation theorem , 2007 .

[2] P. Rosenau,et al. On solitary patterns in Lotka–Volterra chains , 2016 .

[3] N. Ibragimov. Equivalence groups and invariants of linear and non-linear equations , 2004 .

[4] Hyman,et al. Compactons: Solitons with finite wavelength. , 1993, Physical review letters.

[5] Nail H. Ibragimov,et al. Nonlinear self-adjointness and conservation laws , 2011, 1107.4877.

[6] P. Olver. Applications of lie groups to differential equations , 1986 .

[7] P. Rosenau. On quintic equations with a linear window , 2016 .