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^*

^*此作品的通讯作者

航空科学与工程学院

Beihang University

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	761-762
页数	2
期刊	Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
卷	54
期	12
DOI	https://doi.org/10.1515/zna-1999-1214
出版状态	已出版 - 12月 1999

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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

AN - SCOPUS:0040716172

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

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