2 problems

Let $\nu_1,\nu_2>0$, $m\in\mathbb{N}$, $\gamma\in\mathbb{R}$ satisfy $\nu_1\gamma>0$, and let $k_0>0$. For $(c_p,c_g)\in\mathbb{R}^2$, consider modulated profiles $v(\xi,p)$ with…

Let $m\in\mathbb{N}$ and $\tilde{c}>0$. For sufficiently small $\varepsilon>0$, consider the FPU system and the speed $c=1-\varepsilon^2\tilde{c}$. A generalized moving pulse solut…