Breather Solutions of the Modified Benjamin-Bona-Mahony Equation

8 Pages Posted: 1 May 2020

Date Written: February 19, 2020

Abstract

New two-component vector breather solution of the modified Benjamin-Bona-Mahony (MBBM) equation is considered. Using the generalized perturbation reduction method the MBBM equation is reduced to the coupled nonlinear Schrodinger equations for auxiliary functions. Explicit analytical expressions for the profile and parameters of the vector breather oscillating with the sum and difference of the frequencies and wave-numbers are presented. The two-component vector breather and single-component scalar breather of the MBBM equation is compared.

Keywords: Modified Benjamin-Bona-Mahony Equation, Vector Breather, Generalized Perturbation Reduction Method

Suggested Citation

Adamashvili, Guram, Breather Solutions of the Modified Benjamin-Bona-Mahony Equation (February 19, 2020). Available at SSRN: https://ssrn.com/abstract=3540740 or http://dx.doi.org/10.2139/ssrn.3540740

Guram Adamashvili (Contact Author)

Georgian Technical University ( email )

Tbilisi
Georgia

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