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Breather solutions of modified Benjamin-Bona-Mahony equation |
| G T Adamashvili |
| Technical University of Georgia, Kostava Street 77, Tbilisi, 0179, Georgia |
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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.
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Received: 30 June 2020
Revised: 29 September 2020
Accepted manuscript online: 14 October 2020
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PACS:
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05.45.Yv
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(Solitons)
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02.30.Jr
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(Partial differential equations)
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52.35.Mw
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(Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.))
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Corresponding Authors:
†Corresponding author. E-mail: guram_-adamashvili@ymail.com
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Cite this article:
G T Adamashvili Breather solutions of modified Benjamin-Bona-Mahony equation 2021 Chin. Phys. B 30 020503
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