The traveling wave solutions to a variant of the Boussinesq equation
Keywords:
the extended trial equation method, B( n+1,1,n ) equations, soliton solution, elliptic solutionsAbstract
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.References
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Copyright (c) 2023 Muhammad Nadeem (Corresponding Author); Loredana Florentina Iambor
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Accepted 2023 Dec 22
Published 2023 Dec 24