Multi-peak and rational soliton propagations for (3+1)-dimensional generalized Konopelchenko–Dubrovsky–Kaup Kupershmidt model in fluid mechanics, ocean dynamics and plasma physics.

  • Published In: International Journal of Geometric Methods in Modern Physics, 2023, v. 20, n. 9. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Ahmed, Sarfaraz; Seadawy, Aly R.; Rizvi, Syed T. R.; Hameed, Majid 3 of 3

Abstract

This paper retrieves the investigation of rational solitons via symbolic computation with logarithmic transformation and ansatz functions approach for the (3 + 1) -dimensional generalized Konopelchenko–Dubrovsky–Kaup-Kupershmidt (GKDKK) equation in fluid mechanics, ocean dynamics and plasma physics. We find two categories of M-shaped rational solitons and their dynamics will be revealed through graphs by choosing the suitable values of involved parameters. In addition, two categories of M-shaped rational solitons and their interactions with kink waves will be analyzed. Furthermore, homoclinic breathers, multi-wave and kink cross rational solitons will be investigated. The periodic, rational, dark, bright, Weierstrass elliptic function and positive soliton solutions will also be retrieved with the aid of Sub-ODE approach. Moreover, stability characteristics of solutions will be evaluated. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:International Journal of Geometric Methods in Modern Physics. 2023/08, Vol. 20, Issue 9, p1
  • Document Type:Article
  • Subject Area:Physics
  • Publication Date:2023
  • ISSN:0219-8878
  • DOI:10.1142/S021988782350158X
  • Accession Number:164930255
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