کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
977552 | 933195 | 2009 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Darboux transformation and soliton solutions for the (2+1)-dimensional nonlinear Schrödinger hierarchy with symbolic computation
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, the N-fold Darboux transformation is applied to the Lax pair associated with the (2+1)-dimensional nonlinear Schrödinger hierarchy. The general explicit formula for N-soliton solution is derived in terms of Vandermonde-like determinant expression. On the zero background, two different families of soliton solutions (multi-line soliton and multi-parabola soliton solutions) are constructed by applying the Darboux transformation successively. Based on the figures for several sample solutions, the soliton interactions are discussed by virtue of the physical parameters (amplitude, velocity and direction) of the interacting solitons.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 388, Issue 1, 1 January 2009, Pages 9-20
Journal: Physica A: Statistical Mechanics and its Applications - Volume 388, Issue 1, 1 January 2009, Pages 9-20
نویسندگان
Hai-Qiang Zhang, Bo Tian, Li-Li Li, Yu-Shan Xue,