Multi and breather wave soliton solutions and the linear superposition principle for generalized Hietarinta equation

Kilic S. Ş.

INTERNATIONAL JOURNAL OF MODERN PHYSICS B, cilt.36, sa.02, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 02
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1142/s0217979222500199
  • Dergi Adı: INTERNATIONAL JOURNAL OF MODERN PHYSICS B
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: Hirota bilinear technique, linear superposition principle, generalized (2+1)-dimensional Hietarinta equation, multi- wave and breather wave solutions, DIFFERENTIAL-EQUATIONS, LUMP SOLUTIONS, TRANSFORMATION, SYSTEM
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, we study the generalized (2 + 1)-dimensional Hietarinta equation which is investigated by utilizing Hirota's bilinear method. Also, the bilinear form is obtained, and the N-soliton solutions are constructed. In addition, multi-wave and breather wave solutions of the addressed equation with specific coefficients are presented. Finally, under certain conditions, the asymptotic behavior of solutions is analyzed in both methods. Moreover, we employ the linear superposition principle to determine N-soliton wave solutions for the generalized (2 + 1)-dimensional Hietarinta equation.