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

  • Beihang University

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

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.

Original languageEnglish
Title of host publicationAdvances in Materials, Machinery, Electronics I
Subtitle of host publicationProceedings of the International Conference on Advances in Materials, Machinery, Electronics, AMME 2017
EditorsCan Yang, Lin Liu, Jianfeng Ke
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735414884
DOIs
StatePublished - 13 Mar 2017
Event1st International Conference on Advances in Materials, Machinery, Electronics, AMME 2017 - Wuhan, China
Duration: 25 Feb 201726 Feb 2017

Publication series

NameAIP Conference Proceedings
Volume1820
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference1st International Conference on Advances in Materials, Machinery, Electronics, AMME 2017
Country/TerritoryChina
CityWuhan
Period25/02/1726/02/17

Keywords

  • Darboux transformation
  • Lax pair, Conservation laws
  • Ninth-order Lax equation

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