Integrability of an extended (2+1)-dimensional shallow water wave equation with Bell polynomials

Yun Hu Wang; Yong Chen

doi:10.1088/1674-1056/22/5/050509

Integrability of an extended (2+1)-dimensional shallow water wave equation with Bell polynomials

Yun Hu Wang
, Yong Chen^*

^*此作品的通讯作者

数学科学学院

East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

18 引用（Scopus）

摘要

We investigate the extended (2+1)-dimensional shallow water wave equation. The binary Bell polynomials are used to construct bilinear equation, bilinear Bäcklund transformation, Lax pair, and Darboux covariant Lax pair for this equation. Moreover, the infinite conservation laws of this equation are found by using its Lax pair. All conserved densities and fluxes are given with explicit recursion formulas. The N-soliton solutions are also presented by means of the Hirota bilinear method.

源语言	英语
文章编号	050509
期刊	Chinese Physics B
卷	22
期	5
DOI	https://doi.org/10.1088/1674-1056/22/5/050509
出版状态	已出版 - 5月 2013

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abstract = "We investigate the extended (2+1)-dimensional shallow water wave equation. The binary Bell polynomials are used to construct bilinear equation, bilinear B{\"a}cklund transformation, Lax pair, and Darboux covariant Lax pair for this equation. Moreover, the infinite conservation laws of this equation are found by using its Lax pair. All conserved densities and fluxes are given with explicit recursion formulas. The N-soliton solutions are also presented by means of the Hirota bilinear method.",

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AU - Chen, Yong

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N2 - We investigate the extended (2+1)-dimensional shallow water wave equation. The binary Bell polynomials are used to construct bilinear equation, bilinear Bäcklund transformation, Lax pair, and Darboux covariant Lax pair for this equation. Moreover, the infinite conservation laws of this equation are found by using its Lax pair. All conserved densities and fluxes are given with explicit recursion formulas. The N-soliton solutions are also presented by means of the Hirota bilinear method.

AB - We investigate the extended (2+1)-dimensional shallow water wave equation. The binary Bell polynomials are used to construct bilinear equation, bilinear Bäcklund transformation, Lax pair, and Darboux covariant Lax pair for this equation. Moreover, the infinite conservation laws of this equation are found by using its Lax pair. All conserved densities and fluxes are given with explicit recursion formulas. The N-soliton solutions are also presented by means of the Hirota bilinear method.

KW - Darboux covariant Lax pair

KW - bilinear B̈acklund transformation

KW - binary Bell polynomials

KW - infinite conservation laws

UR - https://www.scopus.com/pages/publications/84878002445

U2 - 10.1088/1674-1056/22/5/050509

DO - 10.1088/1674-1056/22/5/050509

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SN - 1674-1056

VL - 22

JO - Chinese Physics B

JF - Chinese Physics B

IS - 5

M1 - 050509

ER -

Integrability of an extended (2+1)-dimensional shallow water wave equation with Bell polynomials

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