NONLINEAR SELF ADJOINTNESS AND EXACT SOLUTION OF FOKAS-OLVER-ROSENAU-QIAO (FORQ) EQUATION

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Atıf İçin Kopyala

TAŞCAN F., ÜNSAL Ö., Akbulut A., SAN S.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.67, sa.2, ss.317-326, 2018 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 67 Sayı: 2
• Basım Tarihi: 2018
• Doi Numarası: 10.1501/commua1_0000000885
• Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.317-326
• Anahtar Kelimeler: Conservation laws, symmetry generators, FORQ equation, self adjointness, exact solution, CONSERVATION-LAWS, DIFFERENTIAL-EQUATIONS, SYMMETRIES, SOLITONS
• Bursa Uludağ Üniversitesi Adresli: Hayır

Özet

Based on Lie's symmetry approach, conservation laws are constructed for Fokas-Olver-Rosenau-Qiao(FORQ) equation and exact solution is obtained. Nonlocal conservation theorem is used to carry out the analysis of conservation process. Nonlinear self adjointness concept is applied to FORQ equation, it is proved to be strict self adjoint. Characteristic equation and similarity variable help us find exact solution of FORQ equation. Compared with solutions found in previous papers, our solution is new and important, since it is not possible to find exact solution of FORQ equation quite easily.