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Explicit solutions to the Sharma-Tasso-Olver equation

M.A. Abdou, Loubna Ouahid, Saud Owyed, A. M. Abdel-Baset, Mehmet Ali Akınlar, Yu‐Ming Chu

2020AIMS Mathematics24 citationsDOIOpen Access PDF

Abstract

We present new exact traveling wave solutions of generalized Sharma-Tasso-Olver (STO) with variable coefficients using three different methods, namely the extended F-expansion, the new sub-equations, and generalized Kudryashov expansion. We obtain new solutions with the form of solitons, triangular and rational functions. Computational results indicate that these methods are very useful and easily applicable for solving diverse types of differential equations in nonlinear science.

Topics & Concepts

Variable (mathematics)MathematicsRational functionNonlinear systemApplied mathematicsTraveling waveDifferential equationMathematical analysisPhysicsQuantum mechanicsNonlinear Waves and SolitonsNonlinear Photonic SystemsFractional Differential Equations Solutions
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