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Group Analysis and New Explicit Solutions of Simplified Modified Kawahara Equation with Variable Coefficients

Group Analysis and New Explicit Solutions of Simplified Modified Kawahara Equation with Variable Coefficients

The simplified modified Kawahara equation with variable coefficients is studied by using Lie symmetry method. Then we obtain the corresponding Lie algebra, optimal system, and the similarity reductions. At last, we also give some new explicit solutions for some special forms of the equations.