کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5496733 1399865 2016 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An integrable semi-discretization of the Boussinesq equation
ترجمه فارسی عنوان
نیمه تقسیم پذیری انتگرال معادله بوسانسک
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
چکیده انگلیسی
In this paper, we present an integrable semi-discretization of the Boussinesq equation. Different from other discrete analogues, we discretize the 'time' variable and get an integrable differential-difference system. Under a standard limitation, the differential-difference system converges to the continuous Boussinesq equation such that the discrete system can be used to design numerical algorithms. Using Hirota's bilinear method, we find a Bäcklund transformation and a Lax pair of the differential-difference system. For the case of 'good' Boussinesq equation, we investigate the soliton solutions of its discrete analogue and design numerical algorithms. We find an effective way to reduce the phase shift caused by the discretization. The numerical results coincide with our analysis.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 380, Issue 43, 23 October 2016, Pages 3575-3582
نویسندگان
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