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The exact and numerical solitary-wave solutions for generalized modified Boussinesq equation. (English) Zbl 1195.35264

Summary: A decomposition method for approximating the solution of the generalized modified Boussinesq equation is implemented. By using this scheme, explicit exact solution is calculated in the form of a convergent power series with easily computable components. To illustrate the application of this method, numerical results are derived by using the calculated components of the decomposition series. The obtained results are found to be in good agreement with the exact solution.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
35C10 Series solutions to PDEs
35Q51 Soliton equations
35B45 A priori estimates in context of PDEs
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