A PEN-PICTURE OF THE MODIFIED (2+1)-DIMENSIONAL KdV-CALOGERO BOGOYAVLENSKII-SCHIFF EQUATION IN SHALLOW WATER WAVES: LIE SYMMETRY ANALYSIS AND CONSERVATION LAWS ОПИС МОДИФIКОВАНОГО (2+1)-ВИМIРНОГО РIВНЯННЯ KdV-КАЛОДЖЕРО БОГОЯВЛЕНСЬКОГО-ШИФФА У ХВИЛЯХ НА МIЛКОВОДДI: АНАЛIЗ СИМЕТРIЇ ЛI ТА ЗАКОНИ ЗБЕРЕЖЕННЯ

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Mbusi S. O., Adem A. R., Muatjetjeja B., Alngar M. E. M., Ahmed H. M., Biswas A.

East European Journal of Physics, vol.2026, no.2, pp.62-78, 2026 (ESCI, Scopus)

  • Publication Type: Article / Article
  • Volume: 2026 Issue: 2
  • Publication Date: 2026
  • Doi Number: 10.26565/2312-4334-2026-2-06
  • Journal Name: East European Journal of Physics
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.62-78
  • Keywords: Conserved currents, KdV-Calogero Bogoyavlenkskii-Schiff Equation, Lie group analysis, Multiple exp-function method
  • Open Archive Collection: AVESIS Open Access Collection
  • Karadeniz Technical University Affiliated: No

Abstract

This work investigates the KdV-Calogero Bogoyavlenkskii-Schiff equation in modified (2+1) dimensions. The Lie symmetries are created using Lie group analysis, and the similarity solutions are then found using the symmetries. Using the multiple exp-function approach, numerous wave solutions are obtained. Furthermore, we use the multiplier approach to express the conserved currents, which is essential for comprehending the nature of non-linear equations, particularly in engineering and physics.