TY - JOUR
T1 - Soliton and Periodic Wave Solutions of the Nonlinear Loaded (3+1)-Dimensional Version of the Benjamin-Ono Equation by Functional Variable Method
AU - Babajanov , Bazar
AU - Abdikarimov , Fakhriddin
JO - Journal of Nonlinear Modeling and Analysis
VL - 4
SP - 782
EP - 789
PY - 2023
DA - 2023/12
SN - 5
DO - http://doi.org/10.12150/jnma.2023.782
UR - https://global-sci.org/intro/article_detail/jnma/22208.html
KW - Nonlinear loaded Benjamin-Ono equation, solitary wave solutions, functional variable method, nonlinear evolution equations, periodic wave
solutions, trigonometric function, hyperbolic function.
AB - <p style="text-align: justify;">In this article, we establish new travelling wave solutions for the
nonlinear loaded (3+1)-dimensional version of the Benjamin-Ono equation by
the functional variable method. The performance of this method is reliable
and effective and the method provides the exact solitary wave solutions and
periodic wave solutions. The solution procedure is very simple and the traveling wave solutions are expressed by hyperbolic functions and trigonometric functions. After visualizing the graphs of the soliton solutions and the
periodic wave solutions, the use of distinct values of random parameters is
demonstrated to better understand their physical features. It has been shown
that the method provides a very effective and powerful mathematical tool for
solving nonlinear equations in mathematical physics.</p>