Abundant wave solutions for generalized Hietarinta equation with Hirota's bilinear operator

Shen X., Manafian J., Jiang M., İLHAN O. A., Shafik S. S., Zaidi M.

MODERN PHYSICS LETTERS B, cilt.36, sa.10, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 10
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1142/s0217984922500324
  • Dergi Adı: MODERN PHYSICS LETTERS B
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Chemical Abstracts Core, INSPEC, zbMATH
  • Anahtar Kelimeler: Hirota bilinear technique, bilinear form, generalized (2+1)-dimensional Hietarinta equation, periodic solitary solutions, periodic soliton wave solutions, SOLITON-SOLUTIONS, DIFFERENTIAL-EQUATIONS, LUMP SOLUTIONS, MULTIPLE-LUMP, TRANSFORMATION, SEARCH, SYSTEM
  • Erciyes Üniversitesi Adresli: Evet

Özet

In this work, we study the generalized (2+1)-dimensional Hietarinta equation by utilizing Hirota's bilinear method. In addition, the lump solution and breather solution are presented. Using suitable mathematical assumptions, the new types of lump, singular, and breather soliton solutions are derived and established in view of the hyperbolic, trigonometric, and rational functions of the governing equation. Moreover, we give a lot of graphs in some subsections to determine the analysis of behavior solutions for the generalized (2+1)-dimensional Hietarinta equation. The results are useful for obtaining and explaining some new soliton phenomena.