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

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

中国物理B ›› 2013, Vol. 22 ›› Issue (5): 50509-050509.doi: 10.1088/1674-1056/22/5/050509

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

王云虎, 陈勇

Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China

收稿日期:2012-09-28 修回日期:2012-11-13 出版日期:2013-04-01 发布日期:2013-04-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11075055 and 11275072), the Innovative Research Team Program of the National Natural Science Foundation of China (Grant No. 61021004), the Shanghai Knowledge Service Platform for Trustworthy Internet of Things, China (Grant No. ZF1213), and the National High Technology Research and Development Program of China (Grant No. 2011AA010101).

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

Wang Yun-Hu (王云虎), Chen Yong (陈勇)

Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China

Received:2012-09-28 Revised:2012-11-13 Online:2013-04-01 Published:2013-04-01
Contact: Chen Yong E-mail:ychen@sei.ecnu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11075055 and 11275072), the Innovative Research Team Program of the National Natural Science Foundation of China (Grant No. 61021004), the Shanghai Knowledge Service Platform for Trustworthy Internet of Things, China (Grant No. ZF1213), and the National High Technology Research and Development Program of China (Grant No. 2011AA010101).

摘要/Abstract

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.

关键词: binary Bell polynomials, Darboux covariant Lax pair, bilinear Bä, cklund transformation, infinite conservation laws

Abstract: 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.

Key words: binary Bell polynomials, Darboux covariant Lax pair, bilinear Bäcklund transformation, infinite conservation laws

中图分类号: (Solitons)

05.45.Yv

02.30.Ik (Integrable systems)

王云虎, 陈勇. Integrability of extended (2+1)-dimensional shallow water wave equation with Bell polynomials[J]. 中国物理B, 2013, 22(5): 50509-050509.

Wang Yun-Hu (王云虎), Chen Yong (陈勇). Integrability of extended (2+1)-dimensional shallow water wave equation with Bell polynomials[J]. Chin. Phys. B, 2013, 22(5): 50509-050509.

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

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

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