Ahmet Satir | Middle East Technical University (original) (raw)

Papers by Ahmet Satir

Nuclear Physics B, 1999

The symmetries of the bosonic membrane of Duff-Inami-Pope-Sezgin-Stelle (DIPSS) are considered.

Integrable equations of the form q t = L 1 (x, t, q, q x , q xx)q xxx + L 2 (x, t, q, q x , q xx)... more Integrable equations of the form q t = L 1 (x, t, q, q x , q xx)q xxx + L 2 (x, t, q, q x , q xx) are considered using linearization. A new type of integrable equations which are the generalization of the integrable equations of Fokas and Ibragimov and Shabat are given.

Physics Letters A, 1994

The symmetries and associated conservation laws of the SO(2,1) invariant non-linear sigma model e... more The symmetries and associated conservation laws of the SO(2,1) invariant non-linear sigma model equations in 1-1-1 dimensions are investigated. An infinite family of generalized local symmetries is presented and the uniqueness of these solutions is discussed.

International Journal of Theoretical Physics, 1997

Differential constraints compatible with the linearized equations of partial differential equatio... more Differential constraints compatible with the linearized equations of partial differential equations are examined. Recursion operators are obtained by integrating the differential constraints. One of the standard ways for determining particular solutions to partial differential equations is to reduce them to ordinary differential equations which are easier to solve. The classical work of Lie about group-invariant solutions generalizes well-known methods for finding similarity solutions and other basic reduction methods [1]. Bluman and Cole [2] proposed a generalization of Lie’s method for finding group-invariant solutions, which they named the “nonclassical ” method. In this approach, one replaces the condition for the invariance of the given system of differential equations by the weaker condition for the invariance of the combined system consisting of the original differential equations along with the equations requiring the group invariance of the solutions. P.J. Olver and P. Rose...

Journal of Nonlinear Mathematical Physics, 1998

ABSTRACT The preliminary classification of qt=f(q,qx,qxx,qxxx) is given. The results are compared... more ABSTRACT The preliminary classification of qt=f(q,qx,qxx,qxxx) is given. The results are compared with Fokas’s symmetry and Mikhailov–Shabat–Sokolov formal symmetry approaches.

Studies in Applied Mathematics, 1999

International Journal of Modern Physics A, 1997

Lie point symmetries of the bosonic membrane equations of Duff-Inami-Pope-Sezgin-Stelle (DIPPS) a... more Lie point symmetries of the bosonic membrane equations of Duff-Inami-Pope-Sezgin-Stelle (DIPPS) are given. Different finite subgroups of the Lie group are used to reduce the membrane equations to various equations involving two independent variables, and then one. Integrability properties of the reduced equations are also discussed.

Progress of Theoretical Physics, 1998

Using Cartan's geometric formulation of partial diffential equations in the language of exterior ... more Using Cartan's geometric formulation of partial diffential equations in the language of exterior differential forms, it is shown that bosonic membrane equations of Duff-Inami-Pope-Sezgin-Stelle (DIPSS) constitute an involutory system. The symmetries of reformulated DIPSS bosonic membrane equations are studied using three forms, elucidating in this way the previous results concerning Lie-point symmetries (Killing symmetries).