Abstract:
A two-component solution of the modified Benjamin–Bona–Mahoney equation is considered. Using a generalized perturbative reduction method, the equation is transformed to coupled nonlinear Schrödinger equations for auxiliary functions. An explicit analytical expression is obtained for the shape and parameters of a two-component vector breather, the components of which oscillate at the sum and difference frequencies and wavenumbers.
Keywords:two-component vector breathers, the modified Benjamin–Bona–Mahony equation, the generalized perturbation reduction method.
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