Two-component nonlinear wave of the cubic Boussinesq equation
Abstract
In this work, we employ the generalized perturbation reduction method to find the two-component vector breather solution of the cubic Boussinesq equation Utt - C Uzz - D Uzzzz+G (U3)zz=0. Explicit analytical expressions for the shape and parameters of the two-component nonlinear pulse oscillating with the sum and difference of the frequencies and wave numbers are obtained.
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