المؤلف
Erbay, Hüsnü Ata, Erbay, Saadet, Erkip, A.
تاريخ النشر
2020-11-17
مكان النشر
-
Taylor & Francis
الموضوع
Approximation, Nonlocal wave equation, Improved Boussinesq equation, Long-wave limit
النوع
دورية
اللغة
الإنجليزية
رقمي
نعم
مخطوط
لا
المكتبة
جامعة اوزيجين
معرف أصل المكتبة
0003-6811
رقم السجل
7c3488d2-ff5c-47f4-a57f-cd0dc98e46df
موقع المكتبة
Natural and Mathematical Sciences
التاريخ
2020-11-17
نص عينة
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
