1-Soliton solution of the generalized Burgers equation with generalized evolution

Anjan Biswas; Houria Triki; T. Hayat; Omar M. Aldossary

doi:10.1016/j.amc.2011.05.031

1-Soliton solution of the generalized Burgers equation with generalized evolution

Anjan Biswas
, Houria Triki
, T. Hayat
, Omar M. Aldossary

Delaware State University
Badji Mokhtar University
Qaid-i-Azam University
King Saud University

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

The generalized Burgers equation with generalized evolution is studied in this paper. The soliton ansatz is used to carry out the integration of this generalized Burgers equation. This study is then extended to 1+2 dimensions, even with full nonlinearity.

Original language	English
Pages (from-to)	10289-10294
Number of pages	6
Journal	Applied Mathematics and Computation
Volume	217
Issue number	24
DOIs	https://doi.org/10.1016/j.amc.2011.05.031
State	Published - 15 Aug 2011
Externally published	Yes

Keywords

Evolution equations
Integrability
Solitons

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10.1016/j.amc.2011.05.031

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title = "1-Soliton solution of the generalized Burgers equation with generalized evolution",

abstract = "The generalized Burgers equation with generalized evolution is studied in this paper. The soliton ansatz is used to carry out the integration of this generalized Burgers equation. This study is then extended to 1+2 dimensions, even with full nonlinearity.",

keywords = "Evolution equations, Integrability, Solitons",

author = "Anjan Biswas and Houria Triki and T. Hayat and Aldossary, \{Omar M.\}",

year = "2011",

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doi = "10.1016/j.amc.2011.05.031",

language = "English",

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T1 - 1-Soliton solution of the generalized Burgers equation with generalized evolution

AU - Biswas, Anjan

AU - Triki, Houria

AU - Hayat, T.

AU - Aldossary, Omar M.

PY - 2011/8/15

Y1 - 2011/8/15

N2 - The generalized Burgers equation with generalized evolution is studied in this paper. The soliton ansatz is used to carry out the integration of this generalized Burgers equation. This study is then extended to 1+2 dimensions, even with full nonlinearity.

AB - The generalized Burgers equation with generalized evolution is studied in this paper. The soliton ansatz is used to carry out the integration of this generalized Burgers equation. This study is then extended to 1+2 dimensions, even with full nonlinearity.

KW - Evolution equations

KW - Integrability

KW - Solitons

UR - https://www.scopus.com/pages/publications/79959255385

U2 - 10.1016/j.amc.2011.05.031

DO - 10.1016/j.amc.2011.05.031

M3 - Article

AN - SCOPUS:79959255385

SN - 0096-3003

VL - 217

SP - 10289

EP - 10294

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 24

ER -

1-Soliton solution of the generalized Burgers equation with generalized evolution

Abstract

Keywords

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