Breather Solutions of the Modified Benjamin-Bona-Mahony Equation

8 Pages Posted: 1 May 2020

Date Written: February 19, 2020


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: or

Guram Adamashvili (Contact Author)

Georgian Technical University ( email )


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