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Lax pair, conservation laws and Darboux transformation of the high-order Lax equation in fluid dynamics

  • Beihang University

科研成果: 书/报告/会议事项章节会议稿件同行评审

摘要

KdV equation is investigated in fluid dynamics, plasma physics and other fields. By means of poseudopotential procedure, the high-order member of KdV hierarchy, ninth-order Lax's KdV equation in fluid dynamics is studied in this paper. Lax pair in AKNS form are derived from poseudopotential. Based on the Lax pair, an infinite number of conservation laws and Darboux transformation are constructed, and soliton solution is obtained by the Darboux transformation.

源语言英语
主期刊名Advances in Materials, Machinery, Electronics I
主期刊副标题Proceedings of the International Conference on Advances in Materials, Machinery, Electronics, AMME 2017
编辑Can Yang, Lin Liu, Jianfeng Ke
出版商American Institute of Physics Inc.
ISBN(电子版)9780735414884
DOI
出版状态已出版 - 13 3月 2017
活动1st International Conference on Advances in Materials, Machinery, Electronics, AMME 2017 - Wuhan, 中国
期限: 25 2月 201726 2月 2017

出版系列

姓名AIP Conference Proceedings
1820
ISSN(印刷版)0094-243X
ISSN(电子版)1551-7616

会议

会议1st International Conference on Advances in Materials, Machinery, Electronics, AMME 2017
国家/地区中国
Wuhan
时期25/02/1726/02/17

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