1. Açık Erişim@BUU
  2. İndeksli Yayınlar
  3. Web of Science
Please use this identifier to cite or link to this item: http://hdl.handle.net/11452/23391
Title: On the conservation laws and invariant solutions of the mKdV equation
Authors: Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.
0000-0003-4732-5753
Yaşar, Emrullah
AAG-9947-2021
23471031300
Keywords: Conservation laws
Symmetries
Partial-differential-equations
Water
Mathematics
Issue Date: 1-Mar-2010
Publisher: Academic Press - Elsevier Science
Citation: Yaşar, E. (2010). "On the conservation laws and invariant solutions of the mKdV equation". Journal of Mathematical Analysis and Applications, 363(1), 174-181.
Abstract: In this paper, we consider modified Korteweg-de Vries (mKdV) equation. By using the nonlocal conservation theorem method and the partial Lagrangian approach, conservation laws for the mKdV equation are presented. It is observed that only nonlocal conservation theorem method lead to the nontrivial and infinite conservation laws. In addition, invariant solution is obtained by utilizing the relationship between conservation laws and Lie-point symmetries of the equation.
URI: https://doi.org/10.1016/j.jmaa.2009.08.030
http://hdl.handle.net/11452/23391
ISSN: 0022-247X
Appears in Collections:Scopus
Web of Science

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