کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7941375 | 1513200 | 2017 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Lie symmetry analysis, conservation laws, solitary and periodic waves for a coupled Burger equation
ترجمه فارسی عنوان
تجزیه همبستگی دروغ، قوانین حفاظت، امواج انفرادی و دوره ای برای یک معادله همبسته برگر
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی مواد
مواد الکترونیکی، نوری و مغناطیسی
چکیده انگلیسی
Under investigation in this paper is a generalized (2Â +Â 1)-dimensional coupled Burger equation with variable coefficients, which describes lots of nonlinear physical phenomena in geophysical fluid dynamics, condense matter physics and lattice dynamics. By employing the Lie group method, the symmetry reductions and exact explicit solutions are obtained, respectively. Based on a direct method, the conservations laws of the equation are also derived. Furthermore, by virtue of the Painlevé analysis, we successfully obtain the integrable condition on the variable coefficients, which plays an important role in further studying the integrability of the equation. Finally, its auto-Bäcklund transformation as well as some new analytic solutions including solitary and periodic waves are also presented via algebraic and differential manipulation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Superlattices and Microstructures - Volume 101, January 2017, Pages 415-428
Journal: Superlattices and Microstructures - Volume 101, January 2017, Pages 415-428
نویسندگان
Mei-Juan Xu, Shou-Fu Tian, Jian-Min Tu, Tian-Tian Zhang,