Abstract
In this paper, some travelling wave solutions of the Modified Boussinesq (MBQ) equation are obtained by using the modified expansion function method (MEFM). When the obtained solutions are commented, trigonometric functions including hyperbolic features are obtained. The 2D and 3D graphics of the solutions have been investigated by selecting appropriate parameters. All the obtained solutions provide the MBQ equation. In this work, all mathematical calculations are done with Wolfram Mathematica software.
Highlights
The solution of nonlinear partial differential equations has a measure in real life
Step 3: By substituting Eq (5) and its derivatives into Eq (4), we get algebraic equation system. This system was solved by using the Mathematica software program and the solutions of the Modified Boussinesq (MBQ) equation were obtained
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Summary
The solution of nonlinear partial differential equations has a measure in real life. For this reason, many methods have been developed and applied to solve these equations. We apply the modified expansion function method (MEFM) [11,12,13] to solve a nonlinear MBQ equation and find new interactions among travelling wave solutions.
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