Breather solutions of modified Benjamin-Bona-Mahony equation

作     者：G T Adamashvili G T Adamashvili

作者机构：Technical University of GeorgiaKostava Street 77Tbilisi0179Georgia 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2021年第30卷第2期

页      面：220-226页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 0701[理学-数学] 

主　　题：modified Benjamin-Bona-Mahony equation generalized perturbation reduction method vector breather nonlinear waves 

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 Schr¨odinger 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.