Abstract
Solitary waves in a one-dimensional chain of atoms $\{q_j\}_{j\in{\Bbb Z}}$ are investigated. The potential energy is required to be monotone and grow super-quadratically. The existence of solitary waves with a prescribed asymptotic strain is shown under certain assumptions on the asymptotic strain and the wave speed. It is demonstrated that the invariance of the equations allows one to transform a system with nonconvex potential energy density to the situation under consideration.
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