کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4629897 1340588 2012 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Asymptotic solutions for singularly perturbed Boussinesq equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Asymptotic solutions for singularly perturbed Boussinesq equations
چکیده انگلیسی

We consider a family of singularly perturbed Boussinesq equations. We obtain a rational weak solution to the classical Boussinesq equation and demonstrate that this solution can be used to construct perturbation solutions for singularly perturbed high-order Boussinesq equations. These solutions take the form of an algebraic function which behaves similarly to a peakon, and which decays as time becomes large. We show that approximate solutions obtained via perturbation for the singularly perturbed models are asymptotic to the true solutions as the residual errors rapidly decay away from the origin.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 218, Issue 20, 15 June 2012, Pages 10238–10243
نویسندگان
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