Corpus ID: 218763590

Two-component vector breather solution of the modified BBM equation

@article{Adamashvili2020TwocomponentVB,
  title={Two-component vector breather solution of the modified BBM equation},
  author={Guram T. Adamashvili},
  journal={arXiv: Exactly Solvable and Integrable Systems},
  year={2020}
}
  • Guram T. Adamashvili
  • Published 2020
  • Mathematics, Physics
  • arXiv: Exactly Solvable and Integrable Systems
  • 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… CONTINUE READING

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