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arXiv · 2105.06735

Two-component nonlinear wave of the cubic Boussinesq equation

G. T. Adamashvili
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Abstract

In this work, we employ the generalized perturbation reduction method to find the two-component vector breather solution of the cubic Boussinesq equation $U_{tt} - C U_{zz} - D U_{zzzz}+G (U^{3})_{zz}=0$. 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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G. T. Adamashvili. 2021-05-14. Two-component nonlinear wave of the cubic Boussinesq equation. https://arxiv.org/abs/2105.06735

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