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In this work, approximate analytical solution of the sine-Gordon equation with initial conditions is obtained by the homotopy analysis method (HAM). The HAM solutions contain an auxiliary parameter which provides a convenient way of controlling the convergence region of the series solutions. It is shown that the solutions obtained by the variational(More)
In this study, the main features of the Boubaker Polynomials Expansion Scheme (BPES) are outlined on the basis of published, compared and confirmed solution to differently established appliedphysics nonlinear problems. Some new applications of the same scheme in the field of fluids motion and waves dynamics are also discussed. PACS: 2010 02.30.Jr; 02.30.Sa
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