论文标题
修改后的BBM方程的两个组件矢量呼吸溶液
Two-component vector breather solution of the modified BBM equation
论文作者
论文摘要
这是参考文献[1]（arxiv：nlin.ps/2001.07758v1）的延续。在本文中，我们考虑了修改后的Benjamin-Bona-Mahony方程的解决方案$ U_ {T} + C U_ {Z} +βU_{ZZT} + A U^{2} u_ {Z} = 0 $使用广泛的扰动减少方法。该方程将转换为辅助函数的耦合的非线性schrödinger方程。获得频率和波数的总和和差异，对两组分量矢量呼吸的形状和参数的显式分析表达。
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 $u_{ t} + C u_{z} + βu_{zzt} + a u^{2} u_{z}=0$ using the generalized perturbation reduction method. The equation is transformed to the coupled nonlinear Schrödinger equations for auxiliary functions. Explicit analytical expression for the shape and parameters of the two-component vector breather oscillating with the sum and difference of frequencies and wavenumbers are obtained.
