کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4633865 1340681 2008 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On approximate Lagrangians and invariants for scaling reductions of a non-linear wave equation with damping
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
On approximate Lagrangians and invariants for scaling reductions of a non-linear wave equation with damping
چکیده انگلیسی
Some results on the symmetry generators of equations with a small parameter and the relationship between symmetries and conservation laws for such equations are used to construct first-integrals from the Lagrangians for similarity reductions of some classes of a non-linear wave equation. The (approximate) symmetry generators, invariants and Lagrangians maintain the perturbation order of the 'small parameter' stipulated in the equation - first-order in this case. These are then used to analytically find symmetry invariant solutions of the wave equation concerned.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 206, Issue 1, 1 December 2008, Pages 16-20
نویسندگان
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