Exact travelling wave solutions for the local fractional two-dimensional Burgers-type equations

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• 作者：Xiao-Jun Yang^a ; ^b ; ^{dyangxiaojun@163.com} ; Feng Gao^a ; ^b ; ^{jsppw@sohu.com} ; H.M. Srivastava^c ; ^d ; ^{harimsri@math.uvic.ca}
• 关键词：Burgers equation ; Travelling wave solution ; Riccati differential equation method ; Local fractional derivatives
• 刊名：Computers & Mathematics with Applications
• 出版年：2017
• 出版时间：15 January 2017
• 年：2017
• 卷：73
• 期：2
• 页码：203-210
• 全文大小：1158 K
• 卷排序：73

文摘

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.