A note on the travelling wave solution to the perturbed Burgers' equation

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Date

2002-06

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Publisher

Elsevier Science

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info:eu-repo/semantics/closedAccess

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Abstract

In this work, utilizing the hyperbolic tangent method, a travelling wave solution is presented for the perturbed Burgers' equation. which has not been studied before in the existing literature. It is observed that the perturbed Burgers equation still assumes a travelling shock wave type of solution with decaying amplitude in time.

Description

This work was supported by the Turkish Academy of Sciences.

Keywords

Korteweg-de Vries equation, Solitons, Water waves, Mathematical techniques, Hyperbolic tangent methods, Shock waves, Mathematical method

Journal or Series

Applied Mathematics and Computation

WoS Q Value

Q1

Scopus Q Value

Q1

Volume

26

Issue

1

Citation

Demiray, H. (2002). A note on the travelling wave solution to the perturbed burgers' equation. Applied Mathematical Modelling, 26(1), 37-40. doi:10.1016/S0307-904X(01)00037-3