TY - JOUR ID - 97 TI - A modified homotopy perturbation method to periodic solution of a coupled integrable dispersionless equation JO - Journal of Mathematical Modeling JA - JMM LA - en SN - 2345-394X AU - Biazar, Jafar AU - Hosami, Mohammad AD - Y1 - 2013 PY - 2013 VL - 1 IS - Issue 1 SP - 68 EP - 75 DO - N2 - In this paper, a reliable approach is introduced to approximate periodic solutions of a system of coupled integrable dispersionless. The system is firstly, transformed into an ordinary differential equation by wave transformation. The solution of ODE is obtained by the homotopy perturbation method. To show the periodic behavior of the solution, a modification based on the Laplace transforms and Pade approximation, known as aftertreatment technique, is proposed. The angular frequencies are compared with the exact frequency. Comparison of the approximated results and exact one shows a good agreement. UR - https://jmm.guilan.ac.ir/article_97.html L1 - https://jmm.guilan.ac.ir/article_97_a1b1f301f4ff966292bf0113decf308a.pdf ER -