On the variable-coefficient Burgers-Hlavaty equation

Yi Tian Gao; Bo Tian

doi:10.1515/zna-1999-1214

On the variable-coefficient Burgers-Hlavaty equation

Yi Tian Gao
, Bo Tian^*

^*Corresponding author for this work

School of Aeronautic Science and Engineering

Beihang University

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

2 Scopus citations

Abstract

We study Hlavaty's generalization of the Burgers equation containing certain coefficient functions. We obtain a new auto-Bäcklund transformation and a family of exact analytical solutions along with the constraints on those coefficients.

Original language	English
Pages (from-to)	761-762
Number of pages	2
Journal	Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
Volume	54
Issue number	12
DOIs	https://doi.org/10.1515/zna-1999-1214
State	Published - Dec 1999

Keywords

Bäcklund transformation
Exact solutions
Nonlinear evolution equations
Symbolic computation
Variable coefficients

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10.1515/zna-1999-1214

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title = "On the variable-coefficient Burgers-Hlavaty equation",

abstract = "We study Hlavaty's generalization of the Burgers equation containing certain coefficient functions. We obtain a new auto-B{\"a}cklund transformation and a family of exact analytical solutions along with the constraints on those coefficients.",

keywords = "B{\"a}cklund transformation, Exact solutions, Nonlinear evolution equations, Symbolic computation, Variable coefficients",

author = "Gao, \{Yi Tian\} and Bo Tian",

year = "1999",

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AB - We study Hlavaty's generalization of the Burgers equation containing certain coefficient functions. We obtain a new auto-Bäcklund transformation and a family of exact analytical solutions along with the constraints on those coefficients.

KW - Bäcklund transformation

KW - Exact solutions

KW - Nonlinear evolution equations

KW - Symbolic computation

KW - Variable coefficients

UR - https://www.scopus.com/pages/publications/0040716172

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DO - 10.1515/zna-1999-1214

M3 - 文章

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SN - 0932-0784

VL - 54

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JO - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

JF - Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences

IS - 12

ER -

On the variable-coefficient Burgers-Hlavaty equation

Abstract

Keywords

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