APPLIED SCIENCE & SCIENCE DOMAIN
Published September 2, 2023 | Version v1
Journal article Open

Certain Results Associated with Lump and Periodic-Soliton solutions for (2+1)-D Calogero–Bogoyavlenskii–Schiff Equation

Authors/Creators

  • 1. Department of Civil Engineering, Pundra University of Science and Technology, Bangladesh
  • 2. Department of Electrical & Electronic Engineering, Pundra University of Science & Technology, Bangladesh
  • 3. Department of Mathematics and Computer Science, Faculty of Science, Menoufia University,Shebin El Kom 32511, Menofia Governorate, Egypt

Description

In this paper, we consider the (2+1)-D generalized Calogero–Bogoyavlenskii–Schiff equation through a criterion variable transition involving dominating variables. Based on the Hirota bilinear method, we build novel structures for innovative lump solutions, periodic solutions, periodic-soliton solutions and obtain perforated appearance of two-solitary waves. Moreover, we impose some constraints. Furthermore, with the aid of the Maple 3-D and contour plots, we explain the physical properties of these vibrations

Files

Certain results associated with lump.pdf

Files (1.0 MB)

Name Size Download all
md5:eab71b46eec77c6f9f69506865657ffd
1.0 MB Preview Download

Additional details

References

  • Seadawy, A. R. (2014). Stability analysis for Zakharov–Kuznetsov equation of weakly nonlinear ion-acoustic waves in a plasma. Computers & Mathematics with Applications, 67(1), 172-180.
  • Li, B. Q., & Ma, Y. L. (2017). Periodic solutions and solitons to two complex short pulse (CSP) equations in optical fiber. Optik, 144, 149-155.
  • He, J. H., & Abdou, M. A. (2007). New periodic solutions for nonlinear evolution equations using Exp-function method. Chaos, Solitons & Fractals, 34(5), 1421-1429.
  • Wu, X. H. B., & He, J. H. (2008). Exp-function method and its application to nonlinear equations. Chaos, Solitons & Fractals, 38(3), 903-910.
  • Li, Y., & Zhang, J. E. (2001). Darboux transformations of classical Boussinesq system and its multi-soliton solutions. Physics Letters A, 284(6), 253-258.
  • Hirota, R. (2004). The direct method in soliton theory (No. 155). Cambridge University Press
  • Hossen, M. B., Roshid, H. O., & Ali, M. Z. (2018). Characteristics of the solitary waves and rogue waves with interaction phenomena in a (2+ 1)-dimensional Breaking Soliton equation. Physics Letters A, 382(19), 1268-1274.
  • Ma, W. X., & Zhou, Y. (2018). Lump solutions to nonlinear partial differential equations via Hirota bilinear forms. Journal of Differential Equations, 264(4), 2633-2659.
  • Zhang, J. B., & Ma, W. X. (2017). Mixed lump-kink solutions to the BKP equation. Computers & Mathematics with Applications, 74(3), 591-596.
  • Ma, W. X. (2018). Dynamics of mixed lump-solitary waves of an extended (2+ 1)-dimensional shallow water wave model. Physics Letters A, 382(45), 3262-3268