Multiple rogue wave solutions for a variable-coefficient Kadomtsev-Petviashvili equation

Lu Q., İLHAN O. A., Manafian J., Avazpour L.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, cilt.98, sa.7, ss.1457-1473, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 98 Sayı: 7
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1080/00207160.2020.1822996
  • Dergi Adı: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.1457-1473
  • Anahtar Kelimeler: Multiple rogue wave solutions, multiple soliton solutions, variable-coefficient Kadomtsev-Petviashvili equation, PARTIAL-DIFFERENTIAL-EQUATIONS, CONSERVATION-LAWS, SOLITONS
  • Erciyes Üniversitesi Adresli: Evet

Özet

The multiple rogue wave solutions method is employed for searching the multiple soliton solutions for the new variable-coefficient Kadomtsev-Petviashvili equation, which contains first-order, second-order, third-order, and fourth-order wave solutions. At the critical point, the second-order derivative and Hessian matrix for only one point will be investigated and the lump solution has one maximum value. The physical phenomena of these gained multiple soliton solutions are analysed and indicated in figures by selecting suitable values.