Asymptotic two-soliton solutions in the Fermi-Pasta-Ulam model

Abstract

We prove the existence of asymptotic two-soliton states in the Fermi-Pasta-Ulam model with general interaction potential. That is, we exhibit solutions whose difference in ${\ell }^2$ from the linear superposition of two solitary waves goes to zero as time goes to infinity.

9 pages

References in corpus (1)

• Counterpropagating Two-Soliton Solutions in the FPU Lattice

Cited by in corpus (4)

• Gaussian solitary waves and compactons in Fermi-Pasta-Ulam lattices with Hertzian potentials
• KdV waves in atomic chains with nonlocal interactions
• High-energy waves in superpolynomial FPU-type chains
• Solitary waves in atomic chains and peridynamical media