Citation:
BOUGOFFA LAZHAR, MENNOUNI ABDELAZIZ, WAZWAZ ABDUL-MAJID. FAMILIES OF EXACT SOLITON SOLUTIONS TO THE AB NONLINEAR SYSTEM. ROMANIAN REPORTS IN PHYSICS [Internet]. 2021;74 (106).
Date Published:
2021Abstract:
In this paper, the exact solutions to the AB nonlinear system are investigated. This system is reduced via two different transformations to a sine-Gordon equation and a quasilinear equation for a new dependent variable ϕ. Solutions to a sineGordon equation and a quasilinear equation are found. Hence, the original system can well be solved for such ϕ. Also, a similar approach is proposed to solve analytically an eventual extension system for the case of variable coefficients.