Some exact solitons to the (2 + 1)-dimensional Broer–Kaup–Kupershmidt system with two different methods

Malik S., Kumar S., AKBULUT A., Rezazadeh H.

Optical and Quantum Electronics, cilt.55, sa.14, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 55 Sayı: 14
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1007/s11082-023-05500-6
  • Dergi Adı: Optical and Quantum Electronics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, Civil Engineering Abstracts
  • Anahtar Kelimeler: Modified (G′/ G) -expansion scheme, New extended generalized Kudryashov scheme, Soliton solutions, The (2+1)-dimensional Broer–Kaup–Kupershmidt system
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

The exact solutions of the (2 + 1) dimensional Broer–Kaup–Kupershmidt (BKK) system which has been recommended to model the nonlinear and dispersive long gravity waves traveling along with the two horizontal directions in the shallow water of uniform depth were obtained. Firstly, the given system was reduced to an ordinary differential equation (ODE) with the help of the wave transformations. Then, the reduced ODE was solved with the help of two methods which are called the modified (G′/ G) -expansion method and new extended generalized Kudryashov method. We checked the results with the Maple software and plotted 3D, contour and 2D plots of some obtained solutions. As a result, we obtained exact solutions that are different from each other and have not been obtained before. Results can enhance the nonlinear dynamical behavior of a given system and demonstrate the effectiveness of the employed methodology. Results will be beneficial to a large number of engineering model specialists and useful for understanding the wave motions.