Vladimir Pulov

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where co means the convex hull and the given functions ai(·) : R n → R, i = 1, 2, . . . , k are supposed to satisfy the following assumptions: A(i): ai(·) are twice continuously differentiable, and A(ii): ai(·) are with linear growth: ‖ai(x)‖ ≤ θ(1 + ‖x‖) for some positive θ, where ‖ · ‖ is the Euclidean norm. For any sequence of k elements (f1, f2, . . . ,(More)
A MATHEMATICA package for finding Lie symmetries of partial differential equations is presented. The package is designed to create and solve the associated determining system of equations, the full set of solutions of which generates the widest permissible local Lie group of point symmetry transformations. Examples illustrating the functionality of the(More)
A MATHEMATICA® package for finding Lie symmetries of partial differential equations is presented. The package has been applied to perform a full Lie group analysis of basic models of nonlinear fiber optics. As a result of this group invariant solutions have been obtained. Comparisons with earlier published computer algebra implementations of the Lie group(More)
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