کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4640903 1341291 2010 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Unifying the steady state resonant solutions of the periodically forced KdVB, mKdVB, and eKdVB equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Unifying the steady state resonant solutions of the periodically forced KdVB, mKdVB, and eKdVB equations
چکیده انگلیسی

The periodically forced extended KdVB (eKdVB) equation, which contains both KdVB and modified KdVB (mKdVB) equations as special cases, is known to possess a rich array of resonant steady solutions. We present an analytic methodology based on singular perturbation and asymptotic matching in order to illustrate and approximate these solutions in the limit that the dispersive effects are small relative to the nonlinear and forcing terms. Weak Burgers damping is also included at the same order as dispersion. Solutions across the resonant band may be constructed and show good agreement with solutions of the full equation, showing clearly the role of the various physical effects. In this way, direct comparisons and connections are made between the various classes of KdVB equations, illustrating, in particular, the underlying mathematical connections between the KdVB and mKdVB equations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 234, Issue 6, 15 July 2010, Pages 1788–1795
نویسندگان
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