Broer-Kaup系统的达布变换及其偶孤子解

借助谱问题的规范变换,给出Broer-Kaup系统的达布变换,利用达布变换来产生Broer-Kaup系统的偶孤子解,并且用行列式的形式来表达Broer-Kaup系统的偶孤子解.作为应用,Broer-Kaup系统偶孤子解的前两个例子被给出.

Abstract：

A new Darboux transformation associated with the Broer-Kaup system is derived with the help of a gauge transformation of spectral problems. By using Darboux transformation, even-soliton solutions of the Broer-Kaup system are obtained and presented in a determinant form. As an application, the first two cases are given.     

耦合变系数Newell-Whitehead方程的达布变换及其多孤子解

借助耦合变系数Newell-Whitehead方程的Lax对和谱问题的规范变换构造了一个包含多参数的N-波达布变换.运用达布变换来产生耦合变系数Newell-Whitehead方程的多孤子解.变系数函数的几何和内部性质对孤波的形状和孤波的移动方向有非凡的影响.最后,通过合适地选择参数,耦合变系数Newell-Whitehead方程的多孤子解的性质被显示出来.