Exact travelling wave solutions for the local fractional two-dimensional Burgers-type equations. (15th January 2017)

• Record Type: Journal Article
• Authors: Yang, Xiao-Jun; Gao, Feng; Srivastava, H.M.
• Is Part Of: Computers & mathematics with applications. Volume 73:issue 2(2017)
• Page Start: 203
• Page End: 210
• Publication Date: 2017-01-15
• Subjects: Burgers equation -- Travelling wave solution -- Riccati differential equation method -- Local fractional derivatives; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2016.11.012
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: In this paper, a family of local fractional two-dimensional Burgers-type equations (2DBEs) is investigated. The local fractional Riccati differential equation method is proposed here for the first time. The travelling wave transformation of the non-differentiable type is presented. The non-differentiable exact travelling wave solutions for the problems are obtained. The present methodology is shown to provide a useful approach to solve the local fractional nonlinear partial differential equations (LFNPDEs) in mathematical physics.