Exact Solutions of the Nonlinear Modified Benjamin-Bona-Mahony Equation by an Analytical Method
Trad Alotaibi, Ali Althobaiti
Abstract
The current manuscript investigates the exact solutions of the modified Benjamin-Bona-Mahony (BBM) equation. Due to its efficiency and simplicity, the modified auxiliary equation method is adopted to solve the problem under consideration. As a result, a variety of the exact wave solutions of the modified BBM equation are obtained. Furthermore, the findings of the current study remain strong since Jacobi function solutions generate hyperbolic function solutions and trigonometric function solutions, as liming cases of interest. Some of the obtained solutions are illustrated graphically using appropriate values for the parameters.
Topics & Concepts
Trigonometric functionsMathematicsHyperbolic functionMathematical analysisFunction (biology)Variety (cybernetics)Applied mathematicsTrigonometrySimplicityNonlinear systemExact solutions in general relativityCurrent (fluid)PhysicsGeometryStatisticsThermodynamicsEvolutionary biologyQuantum mechanicsBiologyNonlinear Waves and SolitonsFractional Differential Equations SolutionsAlgebraic structures and combinatorial models