On the conservation laws and invariant solutions of the mKdV equation

Yasar E.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.363, sa.1, ss.174-181, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 363 Sayı: 1
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1016/j.jmaa.2009.08.030
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.174-181
  • Anahtar Kelimeler: Conservation laws, Symmetries, PARTIAL-DIFFERENTIAL-EQUATIONS, SYMMETRIES, WATER
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

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. (C) 2009 Elsevier Inc. All rights reserved.