کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6891842 1445341 2018 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Rational solutions in Grammian form for the (3+1)-dimensional generalized shallow water wave equation
ترجمه فارسی عنوان
راه حل های عقلانی در شکل گرمی برای معادله موج معکوس آب معادل (3 + 1) معادل
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
چکیده انگلیسی
In this paper, the (3+1)-dimensional generalized shallow water wave equation is investigated using the Hirota bilinear method and Kadomtsev-Petviashvili hierarchy reduction. The explicit rational solutions for such an equation have been presented in the Grammian form. Based on the Grammian form solution for the equation, the one-rational, two-rational and three-order rational solutions are obtained. When complex parameters pi with nonzero real and imaginary parts are chosen, the lump soliton solutions which are localized in all directions for the (3+1)-dimensional generalized shallow water wave equation can be derived from the corresponding rational solutions. As the figures illustrate, the one-lump soliton solution with one peak and one trough propagates stably on the (x,y) plane. The two-lump solitons with different velocities interact with each other and separate with their original shapes and propagation directions. Different from the case of two-lump solitons, the propagation directions of the third-order lump solitons change after the interaction.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 75, Issue 12, 15 June 2018, Pages 4534-4539
نویسندگان
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