Auto-Bäcklund transformation and similarity reductions for coupled Burger's equation
type: Item
instance of: scholarly article
title: Auto-Bäcklund transformation and similarity reductions for coupled Burger's equation
zbMATH Open document ID: 1196.37112
author: Ibrahim E. Inan
author: Yavuz Ugurlu
author: Doğan Kaya
published in: Applied Mathematics and Computation
publication date: 2010-07-19T00:00:00Z
review text: As development of \textit{E. Fan}'s results [Phys. Lett. A 294 26--30 (2002; Zbl 0981.35064); Comput. Math. Appl. 43, No.~6--7, 671--680 (2002; Zbl 1002.35107)], the authors obtain solitary wave solutions and traveling wave solutions for coupled Burger's equation \[ u_t-u_{xx}+2uu_x+u_xv+v_xu=0, \; v_t-v_{xx}+2vv_x+v_xu+u_xv=0 \] at the usage of Bäcklund transformation and similarity reduction.
Mathematics Subject Classification ID: 37K35
zbMATH DE Number: 5757511
zbMATH Keywords: Bäcklund transformation
zbMATH Keywords: similarity reduction
zbMATH Keywords: coupled Burger's equation
zbMATH Keywords: solitary wave solution
zbMATH Keywords: traveling wave solution
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
full work available at URL: j.amc.2010.03.119
OpenAlex ID: W2044292163
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DOI: 10.1016/J.AMC.2010.03.119
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description: scientific article; zbMATH DE number 5757511