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

Xiao-Jun Yang; Feng Gao; H M Srivastava

doi:10.1016/j.camwa.2016.11.012

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

Journal article

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

Xiao-Jun Yang, Feng Gao and H M Srivastava

Computers & mathematics with applications (1987), Vol.73(2), pp.203-210

15/01/2017

DOI: https://doi.org/10.1016/j.camwa.2016.11.012

Abstract

Differential equations

Mathematical analysis

Nonlinear differential equations

Nonlinear equations

Partial differential equations

Studies

Transformations (mathematics)

Wavelet transforms

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.

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Title: Exact travelling wave solutions for the local fractional two-dimensional Burgers-type equations
Creators - without role: Xiao-Jun Yang - China University of Mining and Technology
Feng Gao - China University of Mining and Technology
H M Srivastava - University of Victoria
Publication Details: Computers & mathematics with applications (1987), Vol.73(2), pp.203-210
Publisher: Elsevier BV
Identifiers: 9935542908331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article