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Journal
2014 | 12 | 8 | 541-553
Article title

Residual symmetries of the modified Korteweg-de Vries equation and its localization

Content
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EN
Abstracts
EN
The residual symmetries of the famous modified Korteweg-de Vries (mKdV) equation are researched in this paper. The initial problem on the residual symmetry of the mKdV equation is researched. The residual symmetries for the mKdV equation are proved to be nonlocal and the nonlocal residual symmetries are extended to the local Lie point symmetries by means of enlarging the mKdV equations. One-parameter invariant subgroups and the invariant solutions for the extended system are listed. Eight types of similarity solutions and the reduction equations are demonstrated. It is noted that we researched the twofold residual symmetries by means of taking the mKdV equation as an example. Similarity solutions and the reduction equations are demonstrated for the extended mKdV equations related to the twofold residual symmetries.
Publisher

Journal
Year
Volume
12
Issue
8
Pages
541-553
Physical description
Dates
published
1 - 8 - 2014
online
20 - 7 - 2014
Contributors
author
  • Department of Physics and Electronics, Shangrao Normal University, Shangrao, 334001, China, sryangjr@163.com
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Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-014-0488-1
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