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
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