论文标题
在质量晶格中的孤立波
Solitary Waves in Mass-in-Mass Lattices
论文作者
论文摘要
我们考虑存在质量质量晶格的空间局部行驶波解决方案的存在。在Kevrekidis，Stefanov和Xu最初发现的抗谐声条件下，我们证明了这种溶液存在两个区别的限制，这是内部谐振器的质量很小的，第二个内部弹簧的质量非常僵硬。然后，我们通过数值模拟解决方案，这些模拟表明抗谐振的行进波弱不稳定
We consider the existence of spatially localized traveling wave solutions of the mass-in-mass lattice. Under an anti-resonance condition first discovered by Kevrekidis, Stefanov and Xu, we prove that such solutions exist in two distinguished limits, the first where the mass of the internal resonator is small and the second where the internal spring is very stiff. We then numerically simulate the solutions and these simulations indicate that the anti-resonant traveling waves are weakly unstable
