Periodic type and periodic cross-kink wave solutions to the (2+1)-dimensional breaking soliton equation arising in fluid dynamics


İlhan O. A., Manafian J.

MODERN PHYSICS LETTERS B, cilt.33, sa.23, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 23
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1142/s0217984919502774
  • Dergi Adı: MODERN PHYSICS LETTERS B
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: The (2+1)-dimensional breaking soliton equation, Hirota bilinear method, periodic type solutions, cross-kink wave solutions, COHERENT STRUCTURES, GENERALIZED KP, LUMP SOLUTION, TRANSFORMATIONS, BREATHER
  • Erciyes Üniversitesi Adresli: Evet

Özet

In this paper, we have acquired the periodic type and cross-kink wave solutions. In this paper, we use the Hirota bilinear method. With the help of the symbolic calculation and applying the used method, we solve the (2+1)-dimensional Breaking Soliton (BS) equation. We obtain some periodic wave and cross-kink wave that have greatly enriched the existing literature on the BS equation. All solutions have been verified back into its corresponding equation with the aid of the Maple package program via the three-dimensional images and density images with the help of Maple, the physical characteristics of these waves are described very well. These will be widely used to describe many interesting physical phenomena in the fields of gas, plasma, optics, acoustics, heat transfer, fluid dynamics, classical mechanics and so on.