Open AccessA study on the (2+1)–dimensional first extended Calogero-Bogoyavlenskii- Schiff equation
Author(s) -
Chaudry Masood Khalique,
Kentse Maefo
Publication year - 2021
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2021293
Subject(s) - noether's theorem , homogeneous space , ordinary differential equation , mathematics , symmetry (geometry) , multiplier (economics) , differential equation , partial differential equation , order (exchange) , mathematical physics , algebra over a field , pure mathematics , mathematical analysis , geometry , finance , economics , macroeconomics
This article studies a (2+1)-dimensional first extended Calogero-Bogoyavlenskii-Schiff equation, which was recently introduced in the literature. We derive Lie symmetries of this equation and then use them to perform symmetry reductions. Using translation symmetries, a fourth-order ordinary differential equation is obtained which is then solved with the aid of Kudryashov and $ (G'/G)- $expansion techniques to construct closed-form solutions. Besides, we depict the solutions with the appropriate graphical representations. Moreover, conserved vectors of this equation are computed by engaging the multiplier approach as well as Noether's theorem.