کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
840817 908492 2012 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hamiltonians and conjugate Hamiltonians of some fourth-order nonlinear ODEs
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Hamiltonians and conjugate Hamiltonians of some fourth-order nonlinear ODEs
چکیده انگلیسی

We first derive the Lagrangians of the reduced fourth-order ordinary differential equations studied by Kudryashov under the assumption that they satisfy the conditions stated by Fels [M.E. Fels, The inverse problem of the calculus of variations for scalar fourth-order ordinary differential equations, Trans. Amer. Math. Soc. 348, 1996, 5007–5029], using Jacobi’s last multiplier technique. In addition we derive the Hamiltonians of these equations using the Jacobi–Ostrogradski theory. Next, we derive the conjugate Hamiltonian equations for such fourth-order equations passing the Painlevé test. Finally, we investigate the conjugate Hamiltonian formulation of certain additional equations belonging to this family.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 75, Issue 4, March 2012, Pages 2126–2138
نویسندگان
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