کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6891737 | 1445339 | 2018 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Rogue waves for a variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Under investigation in this paper is a variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics, which describes the shallow-water waves with the weak nonlinearity and dispersion. Employing the Kadomtsev-Petviashvili hierarchy reduction, we obtain the rogue-wave solutions in terms of the Gramian. Periodic, cubic- and s-shaped line rogue waves are presented with different forms of the dispersion coefficient. The second-order rogue waves and multi-rogue waves are also graphically discussed. It is observed that only parts of the second-order rogue wave approach the constant background, and the other parts move to the far distance with the undiminished amplitudes. The multi-rogue waves describe the interaction of several first-order rogue waves. We plot the interactions of two periodic, cubic- and s-shaped line rogue waves. The lump wave, which propagates stably in all directions, is also depicted.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 76, Issue 2, 15 July 2018, Pages 215-223
Journal: Computers & Mathematics with Applications - Volume 76, Issue 2, 15 July 2018, Pages 215-223
نویسندگان
Xiao-Yu Wu, Bo Tian, Lei Liu, Yan Sun,