نویسنده
Erbay, Hüsnü Ata, Erbay, Saadet, Erkip, A.
تاریخ انتشار
2020-11-17
محل انتشار
-
Taylor & Francis
موضوع
Approximation, Nonlocal wave equation, Improved Boussinesq equation, Long-wave limit
نوع
دوره ای
زبان
انگلیسی
دیجیتال
بله
نسخه خطی
خیر
کتابخانه
دانشگاه اوزیغین
شناسه دارایی کتابخانه
0003-6811
شماره ثبت
7c3488d2-ff5c-47f4-a57f-cd0dc98e46df
محل کتابخانه
Natural and Mathematical Sciences
تاریخ
2020-11-17
متن نمونه
We consider a general class of convolution-type nonlocal wave equations modeling bidirectional nonlinear wave propagation. The model involves two small positive parameters measuring the relative strengths of the nonlinear and dispersive effects. We take two different kernel functions that have similar dispersive characteristics in the long-wave limit and compare the corresponding solutions of the Cauchy problems with the same initial data. We prove rigorously that the difference between the two solutions remains small over a long time interval in a suitable Sobolev norm. In particular, our results show that, in the long-wave limit, solutions of such nonlocal equations can be well approximated by those of improved Boussinesq-type equations.
DOI
10.1080/00036811.2019.1577393
Cilt
99
