Solution of the Modified Equal Width Equation, its Variant and non-homogeneous Burgers’ equation by RDT Method

摘要

The modified equal width equation and its variant are investigated. We have presented a Reduced differential transform method to solve the MEW equation, its variant and non-homogeneous Burgers’ equation. This method is an alternative approach to overcome the demerit of complex calculation of differential transform method, capable of reducing the size of calculation and easily overcoming the difficulty of the perturbation technique or Adomain polynomials. The approximate analytical solutions of the equations are calculated in the form of series with easily computable components. Numerical results are derived and the obtained results are found in good agreement with the exact solutions.