Numerical Identification of Solitary Wave-Like solutions in Boussinesq Equation as Inverse Problem
Abstract
An algorithm to investigate numerically the solitary wave-like solutionsof Boussinesq differential
equation is constructed. The bifurcation problem is re-formulated as an inverse problem for coefficient
identification, introducing a newparameter. Such a way the nontrivial solution is separated from the trivial
one.The Method of Variational Imbedding (MVI) is used for solving the inverse prob-lem. As illustration of the
approach a Mathematica code with the finite differencescheme is prepared and the numerical results, including
verification of the scheme,connection between the solution and the coefficients, and capability of Mathematica to
paralelize the algorithm are presented
