| Integrability of an extended （2＋1）-dimensional shallow water wave equation with Bell polynomials |
| |
| 引用本文： | 王云虎,陈勇.Integrability of an extended （2＋1）-dimensional shallow water wave equation with Bell polynomials[J].中国物理 B,2013(5):241-246. |
| |
| 作者姓名： | 王云虎 陈勇 |
| |
| 作者单位： | Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China |
| |
| 基金项目： | 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： | We investigate the extended (2+1)-dimensional shallow water wave equation. The binary Bell polynomials are used to construct bilinear equation, bilinear Bcklund 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 Bcklund transformation infinite conservation laws |
Integrability of an extended （2＋1）-dimensional shallow water wave equation with Bell polynomials |
| |
| Wang Yun-Hu and Chen Yong.Integrability of an extended （2＋1）-dimensional shallow water wave equation with Bell polynomials[J].Chinese Physics B,2013(5):241-246. |
| |
| Authors: | Wang Yun-Hu and Chen Yong |
| |
| Affiliation: | Wang Yun-Hu and Chen Yong( Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China) |
| |
| Abstract: | |
| |
| Keywords: | binary Bell polynomials Darboux covariant Lax pair bilinear Backlund transformation infiniteconservation laws |
| 本文献已被 CNKI 维普 等数据库收录！ |
