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Two-component vector breather solution of the modified BBM equation

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 نشر من قبل Guram Adamashvili
 تاريخ النشر 2020
  مجال البحث فيزياء
والبحث باللغة English
 تأليف G. T. Adamashvili




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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 Schrodinger 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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