کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7154628 1462583 2018 43 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the interconnections between various analytic approaches in coupled first-order nonlinear differential equations
ترجمه فارسی عنوان
در رابطه متقابل بین رویکردهای تحلیلی مختلف در معادلات دیفرانسیل غیرخطی مرتبه اول مرتب شده است
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
چکیده انگلیسی
In the theory of integrable dynamical systems the following quantities, namely Lie point symmetries, λ-symmetries, adjoint symmetries, Darboux polynomials, Jacobi last multiplier and extended Prelle-Singer quantities play a vital role. In this paper, we consider a system of first order nonlinear ordinary differential equations and investigate the following question: Suppose any one of the quantities in the above mentioned list has been given or known whether the rest of the quantities can be derived without going into its own formalism or determining equation? Our analysis shows that there exists a global connection between these quantifiers. The global interconnections have been formulated and demonstrated with suitable examples in the case of systems of two coupled and three coupled first order ODEs, which can then be extended to higher orders.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 62, September 2018, Pages 213-228
نویسندگان
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