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In manuscript, with the help of the Wolfram Mathematica 9, we employ the modified exponential function method in obtaining some new soliton solutions to the ill-posed Boussinesq equation arising in nonlinear media. Results obtained with use of technique, and also, surfaces for soliton solutions are given. We also plot the 3D and 2D of each solution obtained in this study by using the same program in the Wolfram Mathematica 9.

an international journal of optimization and control: theories and applications/e-an international journal of optimization and control: theories and applications

New soliton properties to the ill-posed Boussinesq equation arising in nonlinear physical science