Auto-Bäcklund transformation for a nonintegrable generalized shallow-water wave equation

Yi Tian Gao; Bo Tian; Woopyo Hong; Meijuan Zhou

Auto-Bäcklund transformation for a nonintegrable generalized shallow-water wave equation

Yi Tian Gao^*
, Bo Tian
, Woopyo Hong
, Meijuan Zhou

^*此作品的通讯作者

航空科学与工程学院

Beihang University
Catholic University of Daegu
Jiangxi Jian Teacher's College

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

The Bäcklund transformations and the shallow-water wave equations are both interesting topics in mathematical and physical sciences. In this paper, we obtain an auto-Bäcklund transformation for a (3+1)-dimensional generalized shallow-water wave equation which is known not to be completely integrable in the usual sense. Sample solitonic solutions and the hierarchy of solutions are discussed.

源语言	英语
页（从-至）	115-117
页数	3
期刊	Nuovo Cimento della Societa Italiana di Fisica B
卷	116
期	1
出版状态	已出版 - 1月 2001

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title = "Auto-B{\"a}cklund transformation for a nonintegrable generalized shallow-water wave equation",

abstract = "The B{\"a}cklund transformations and the shallow-water wave equations are both interesting topics in mathematical and physical sciences. In this paper, we obtain an auto-B{\"a}cklund transformation for a (3+1)-dimensional generalized shallow-water wave equation which is known not to be completely integrable in the usual sense. Sample solitonic solutions and the hierarchy of solutions are discussed.",

author = "Gao, \{Yi Tian\} and Bo Tian and Woopyo Hong and Meijuan Zhou",

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AU - Gao, Yi Tian

AU - Tian, Bo

AU - Hong, Woopyo

AU - Zhou, Meijuan

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N2 - The Bäcklund transformations and the shallow-water wave equations are both interesting topics in mathematical and physical sciences. In this paper, we obtain an auto-Bäcklund transformation for a (3+1)-dimensional generalized shallow-water wave equation which is known not to be completely integrable in the usual sense. Sample solitonic solutions and the hierarchy of solutions are discussed.

AB - The Bäcklund transformations and the shallow-water wave equations are both interesting topics in mathematical and physical sciences. In this paper, we obtain an auto-Bäcklund transformation for a (3+1)-dimensional generalized shallow-water wave equation which is known not to be completely integrable in the usual sense. Sample solitonic solutions and the hierarchy of solutions are discussed.

UR - https://www.scopus.com/pages/publications/0035636317

M3 - 文章

AN - SCOPUS:0035636317

SN - 1594-9982

VL - 116

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EP - 117

JO - Nuovo Cimento della Societa Italiana di Fisica B

JF - Nuovo Cimento della Societa Italiana di Fisica B

IS - 1

ER -

Auto-Bäcklund transformation for a nonintegrable generalized shallow-water wave equation

摘要

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