TY - JOUR
AU - Nadeem, Muhammad
AU - Florentina Iambor, Loredana
PY - 2023/12/24
Y2 - 2024/11/02
TI - The traveling wave solutions to a variant of the Boussinesq equation
JF - Electronic Journal of Applied Mathematics
JA - Electron. J. Appl. Math.
VL - 1
IS - 3
SE - Research Article
DO - 10.61383/ejam.20231347
UR - https://ejamjournal.com/index.php/ejam/article/view/ejam.20231347
SP - 26-37
AB - <div><div>In this study, we study a variant of the Boussinesq equation called as \(B( n+1,\,1,\,n )\) equation, and construct some traveling wave solutions by using an effective approach called the extended trial equation method. Thus, the soliton solutions, rational function solutions, elliptic function solutions and Jacobi elliptic function solutions, which show the existence of various mathematical and physical structures and events in the fundamental equation considered, have been constructured. In order to make a more detailed examination of the physical behavior of these solutions, two- and three-dimensional graphs of some solution functions were drawn with the help of the Mathematica package program. In the section of Discussion, we suggest a more general version of the trial equation method for nonlinear differential equations.</div></div>
ER -