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Title

PERIODIC SOLUTION OF A COUPLED INTEGRABLE DISPERSIONLESS EQUATION BY HOMOTOPY PERTURBATION METHOD

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 Start Page | End Page

Abstract

 IN THIS PAPER, A RELIABLE APPROACH IS INTRODUCED TO APPROXIMATE PERIODIC SOLUTIONS OF A SYSTEM OF COUPLED INTEGRABLE DISPERSION LESS. THE SYSTEM IS FIRSTLY, TRANSFORMED INTO AN ORDINARY DIFFERENTIAL EQUATION BY WAVE TRANSFORMATION. THE SOLUTION OF ODE IS OBTAINED BY HOMOTOPY PERTURBATION METHOD. BUT THE SOLUTION DOESN'T EXHIBIT THE PERIODIC BEHAVIOR WHICH IS CHARACTERISTIC OF THE SYSTEM. TO SHOW THE PERIODIC BEHAVIOR OF THE SOLUTION, A MODIFICATION BASED ON THE LAPLACE TRANSFORMS AND PADE APPROXIMATION, KNOWN AS AFTER TREATMENT TECHNIQUE, IS PROPOSED. THE ANGULAR FREQUENCIES ARE COMPARED WITH THE EXACT FREQUENCY. COMPARISON OF THE APPROXIMATED RESULTS AND EXACT ONE SHOWS A GOOD AGREEMENT.

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