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arXiv · 2005.10569

Two-component vector breather solution of the modified BBM equation

G. T. Adamashvili
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Abstract

This is a continuation of Ref.[1](arXiv:nlin.PS/2001.07758v1). In the present paper, we consider the solution to the modified Benjamin-Bona-Mahony equation $u_{ t} + C u_{z} + \beta u_{zzt} + a u^{2} u_{z}=0$ using the generalized perturbation reduction method. The equation is transformed to the coupled nonlinear Schr\"odinger equations for auxiliary functions. Explicit analytical expression for the shape and parameters of the two-component vector breather oscillating with the sum and difference of frequencies and wavenumbers are obtained.

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G. T. Adamashvili. 2020-05-21. Two-component vector breather solution of the modified BBM equation. https://arxiv.org/abs/2005.10569

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