Interaction of a Kink-Soliton with a Breather in a Fermi-Pasta-Ulam Chain

Abstract

Collision process between breather and moving kink-soliton is investigated both analytically and numerically in Fermi-Pasta-Ulam (FPU) chains. As it is shown by both analytical and numerical consideration low amplitude breathers and soft kinks retain their shapes after interaction. Low amplitude breather only changes the location after collision and remains static. As the numerical simulations show, the shift of its position is proportional to the stiffness of the kink-soliton, what is in accordance with the analytical predictions made in this paper. The numerical experiments are also carried out for large amplitude breathers and some interesting effects are observed: The odd parity large amplitude breather does not change position when colliding with widely separated soft kink-antikink pair, whilst in the case of closely placed kink-antikink pair the breather transforms into the moving one. Therefore it is suggested that the "harmless" objects similar to the kink-solitons in FPU chains could be used in order to displace or move the strongly localized structures in realistic physical systems. In particular, the analogies with quasi-one dimensional easy-plane type spin structures are discussed.

to be published in Phys. Rev. E (February, 2002)

References in corpus (3)

• Observation of a Linearly Dispersing Collective Mode in a Quantum Hall Ferromagnet
• Pattern formation and localization in the forced-damped FPU lattice
• On quantization of weakly nonlinear lattices. Envelope solitons

Cited by in corpus (9)

• Nonlinear supratransmission and bistability in the Fermi-Pasta-Ulam model
• Discrete breathers in Fermi-Pasta-Ulam lattices
• Supersonic Discrete Kink-Solitons and Sinusoidal Patterns with "Magic" wavenumber in Anharmonic Lattices
• Traveling Solitons in Long-Range Oscillator Chains
• Stochastic Resonance in the Fermi-Pasta-Ulam Chain
• Loss of stability of a solitary wave through exciting a cnoidal wave on a Fermi-Pasta-Ulam ring
• Landau-Zener Tunneling of Solitons
• Quasi-stable Localized Excitations in the β-Fermi Pasta Ulam Tsingou System
• Goldstone mode kink-solitons in double layer quantum Hall systems