中国物理B ›› 2021, Vol. 30 ›› Issue (2): 20503-0.doi: 10.1088/1674-1056/abc0d9

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  • 收稿日期:2020-06-30 修回日期:2020-09-29 接受日期:2020-10-14 出版日期:2021-01-18 发布日期:2021-01-29

Breather solutions of modified Benjamin-Bona-Mahony equation

G T Adamashvili   

  1. Technical University of Georgia, Kostava Street 77, Tbilisi, 0179, Georgia
  • Received:2020-06-30 Revised:2020-09-29 Accepted:2020-10-14 Online:2021-01-18 Published:2021-01-29
  • Contact: Corresponding author. E-mail: guram_-adamashvili@ymail.com

Abstract: 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 Schrödinger 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 wavenumbers are presented. The two-component vector breather and single-component scalar breather of the MBBM equation is compared.

Key words: modified Benjamin-Bona-Mahony equation, generalized perturbation reduction method, vector breather, nonlinear waves

中图分类号:  (Solitons)

  • 05.45.Yv
02.30.Jr (Partial differential equations) 52.35.Mw (Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.))