کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4628495 1631830 2013 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A nonlocal connection between certain linear and nonlinear ordinary differential equations – Part II: Complex nonlinear oscillators
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A nonlocal connection between certain linear and nonlinear ordinary differential equations – Part II: Complex nonlinear oscillators
چکیده انگلیسی


• We identified a class of integrable nonlinear complex ODEs.
• Two types of nonlocal transformations which connect the nonlinear complex ODE with linear ODE are presented.
• General solution of a class of nonlinear complex ODEs are given.

In this paper, we present a method to identify integrable complex nonlinear oscillator systems and construct their solutions. For this purpose, we introduce two types of nonlocal transformations which relate specific classes of nonlinear complex ordinary differential equations (ODEs) with complex linear ODEs, thereby proving the integrability of the former. We also show how to construct the solutions using the two types of nonlocal transformations with several physically interesting cases as examples.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 224, 1 November 2013, Pages 593–602
نویسندگان
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