N-lump and interaction solutions of localized waves to the (2+1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation arise from a model for an incompressible fluid

Manafian J., İLHAN O. A., Avazpour L., Alizadeh A.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.43, no.17, pp.9904-9927, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 43 Issue: 17
  • Publication Date: 2020
  • Doi Number: 10.1002/mma.6665
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.9904-9927
  • Keywords: asymmetrical Nizhnik-Novikov-Veselov equation, bell-shaped solitons, Hirota bilinear operator method, interaction solution, lump soliton, M-soliton solution, N-soliton solution, SOLITON-SOLUTIONS, KADOMTSEV-PETVIASHVILI, OPTICAL SOLITONS
  • Erciyes University Affiliated: Yes


The present article deals withM-soliton solution andN-soliton solution of the (2 + 1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation by virtue of Hirota bilinear operator method. The obtained solutions for solving the current equation represent some localized waves including soliton, breather, lump, and their interactions, which have been investigated by the approach of the long-wave limit. Mainly, by choosing the specific parameter constraints in theM-soliton andN-soliton solutions, all cases of the one breather or one lump can be captured from the two, three, four, and five solitons. In addition, the performances of the mentioned technique, namely, the Hirota bilinear technique, are substantially powerful and absolutely reliable to search for new explicit solutions of nonlinear models. Meanwhile, the obtained solutions are extended with numerical simulation to analyze graphically, which results in localized waves and their interaction from the two-, three-, four-, and five-soliton solutions profiles. They will be extensively used to report many attractive physical phenomena in the fields of acoustics, heat transfer, fluid dynamics, classical mechanics, and so on.