Exact Traveling Wave Solutions for the System of Shallow Water Wave Equations and Modified Liouville Equation Using Extended Jacobian Elliptic Function Expansion Method — Oak Academic Publishing
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Exact Traveling Wave Solutions for the System of Shallow Water Wave Equations and Modified Liouville Equation Using Extended Jacobian Elliptic Function Expansion Method
Department of Mathematical and Physical Engineering, College of Engineering, University of Benha, Shubra, Egypt
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Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt
1 Department of Mathematical and Physical Engineering, College of Engineering, University of Benha, Shubra, Egypt
2 Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt
In this work, an extended Jacobian elliptic function expansion method is proposed for constructing the exact solutions of nonlinear evolution equations. The validity and reliability of the method are tested by its applications to the system of shallow water wave equations and modified Liouville equation which play an important role in mathematical physics.
KeywordsExtended Jacobian Elliptic Function Expansion MethodThe System of Shallow Water Wave EquationsModified Liouville EquationTraveling Wave SolutionsSolitary Wave Solutions
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