非局部叠加解II：耦合非线性方程
Nonlocal Superposed Solutions II: Coupled Nonlinear Equations
摘要：
我们获得了耦合非局部非线性薛定谔方程（NLS）的一个Ablowitz-Musslimani变体的新的周期解和双曲解，以及一个耦合非局部修正的Korteweg-de Vries（mKdV）方程，该方程可以重新表示为两个双曲或两个周期扭结或脉冲解的和或差的线性叠加.此外，我们还讨论了这些耦合方程所允许的其他一些解。这些结果表明，叠加解的概念也可以推广到耦合非局部非线性方程。
英文摘要：
We obtain novel periodic as well as hyperbolic solutions of an Ablowitz-Musslimani variant of the coupled nonlocal, nonlinear Schrödinger equation (NLS) as well as a coupled nonlocal modified Korteweg-de Vries (mKdV) equation which can be re-expressed as a linear superposition of the sum or the difference of two hyperbolic or two periodic kink or pulse solutions. Besides, we also discuss some of the other solutions admitted by these coupled equations. These results demonstrate that the notion of the superposed solutions extends to the coupled nonlocal nonlinear equations as well.
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