کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7155282 | 1462615 | 2016 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The rogue wave solutions of a new (2+1)-dimensional equation
ترجمه فارسی عنوان
راه حل های موج سرکش یک معادله جدید (2 + 1)
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی مکانیک
چکیده انگلیسی
Recently, Anjan Kundu, Abhik Mukherjee and Tapan Naskar (KMN) have introduced a (2+1)-dimensional equation as a new extension of the well-known nonlinear Schrödinger (NLS) equation, which is called KMN equation in this paper. We provide a triplet Lax pair of the KMN equation. Basing on triplet Lax pair, we present the first-order rogue wave (RW) solution of the KMN equation by the one-fold Darboux transformation from a non-zero “seed” solution. This RW solution also satisfies the complex modified Korteweg-de Vries (mKdV) and the NLS equation by two different transformations of variables. Moreover, we discuss the localization of rogue wave of KMN equation, observing that the area of rogue wave is a constant which is just related to the amplitude of seed solution.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 30, Issues 1â3, January 2016, Pages 307-315
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 30, Issues 1â3, January 2016, Pages 307-315
نویسندگان
Deqin Qiu, Yongshuai Zhang, Jingsong He,