Breather solutions of modified Benjamin–Bona–Mahony equation

被引：0
|
作者：
Adamashvili G.T. [1 ]
机构：
[1] Technical University of Georgia, Kostava Street 77, Tbilisi
来源：
Chinese Physics B | 2021年 / 30卷 / 02期
关键词：
Generalized perturbation reduction method; Modified Benjamin–Bona–Mahony equation; Nonlinear waves; Vector breather;
D O I：
10.1088/1674-1056/abc09d
中图分类号：
学科分类号：
摘要：
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. © 2021 Institute of Physics Publishing. All rights reserved.
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