ON NEW EXACT TRAVELING WAVE SOLUTIONS OF THE HAMILTONIAN AMPLITUDE EQUATION

ÖZKAN A., Ozdemir N.

JOURNAL OF SCIENCE AND ARTS, sa.1, ss.55-64, 2025 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2025
  • Doi Numarası: 10.46939/j.sci.arts-25.1-a06
  • Dergi Adı: JOURNAL OF SCIENCE AND ARTS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.55-64
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

Nonlinear differential equations have an important place in mathematical physics. In this paper, the G '/G2 expansion method is used to obtain new exact traveling wave solutions of the Hamiltonian amplitude equation that arise in the analysis of various problems in fluid mechanics and theoretical physics. All calculations in this study are made using the software program and the solutions obtained are substituted in the equations. The solutions obtained have important areas of use in the fields of mathematical physics and engineering.