Lump wave solutions and the interaction phenomenon for a variable-coefficient Kadomtsev-Petviashvili equation

İlhan O. A., Manafian J., Shahriari M.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.78, sa.8, ss.2429-2448, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 78 Sayı: 8
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1016/j.camwa.2019.03.048
  • Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2429-2448
  • Anahtar Kelimeler: Variable-coefficient, Kadomtsev-Petviashvili equation, Hirota bilinear method, Lump solutions, Interaction phenomena, Exponential function, Hyperbolic function, Kinky breather-soliton, Kinky periodic-soliton and strip soliton, OPTICAL SOLITON-SOLUTIONS, SCHRODINGER-EQUATION, DIVERSITY
  • Erciyes Üniversitesi Adresli: Evet

Özet

By way of symbolic computation with the help of Maple, diverse of exact solutions for a variable-coefficient Kadomtsev-Petviashvili equation are successfully derived, based on the Hirota bilinear method. These new solutions named the lump solution and the interaction solutions between the lump and the exponential function, lump and the hyperbolic function and also kinky breather-soliton and kinky periodic-soliton and strip soliton solutions have greatly enriched the existing literature on the variable-coefficient Kadomtsev-Petviashvili equation. Particularly, we have obtained the interaction solutions between the lump solution and the exponential function and the lump solution and the hyperbolic function for the variable-coefficient Kadomtsev-Petviashvili equation. Via the three-dimensional images, density and contour images with the help of Maple, the physical characteristics of these waves are described very well. That will be widely used to explain plenty of interesting the physical phenomenon in the fields of gas, plasma, optics, acoustics, heat transfer, fluid dynamics, classical mechanics and so forth. (C) 2019 Elsevier Ltd. All rights reserved.