Modulational instability and multiple rogue wave solutions for the generalized CBS-BK equation

Gang W., Manafian J., BENLİ F. B., İLHAN O. A., Goldaran R.

MODERN PHYSICS LETTERS B, cilt.35, sa.24, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 35 Sayı: 24
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1142/s021798492150408x
  • 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: Multiple rogue wave solutions, multiple soliton solutions, generalized Calogero-Bogoyavlenskii-Schiff-Bogoyavlensky-Konopelchenko equation, the modulation instability, BOGOYAVLENSKII-SCHIFF EQUATION, LUMP SOLUTIONS, BREATHER SOLUTIONS, CONSERVATION-LAWS, SOLITARY, SOLITONS
  • Erciyes Üniversitesi Adresli: Evet

Özet

An integrable of the generalized Calogero-Bogoyavlenskii-Schiff-Bogoyavlensky-Konopelchenko (CBS-BK) equation is studied, by employing Hirota's bilinear method the bilinear form is obtained, and the multiple-soliton solutions are constructed. The modified of improved bilinear method has been utilized to investigate multiple solutions. In addition, some graphs including 3D, contour, density, and y-curves plots of the addressed equation with specific coefficients are shown. Finally, under certain conditions, the asymptotic behavior of the linearization solution is analyzed to prove that the modulation instability is stable for some points.