TY - JOUR
TI - Multiple soliton solutions of the model mKdV with time-dependent variable coefficients
AU - Abdalla Mukhtar Y. Y.
AU - Younies Bakery A.e
AU - Adam Haroon D.S.
AU - Adam Ahmed M.i
AU - Arko Yagoub A.s
AU - Jazmati Mohammad S
JN - Thermal Science
PY - 2024
VL - 28
IS - 6
SP - 5029
EP - 5036
PT - Article
AB - We investigate exact multiple soliton waves in the time-dependent variable  coefficients modified KdV (mKdV) equation. Employing similarity  transformations, as well as tanh and sech function methods, we present  multiple kink wave, singular kink, and triangular function solutions for the  time-dependent mKdV equation with variable coefficients. Specifically. We  investigate the construction of multiple solitons by choosing a special  form of the time variable. Our results demonstrate that the specific choice  of these analogous temporal variables can effectively control the  characteristics of numerous soliton kinks, offering potential applications  in diverse fields