Discrete lattice effects on breathers in a spatially linear potential

David Cai, A. R. Bishop, Niels Grønbech-Jensen

Research output: Contribution to journalArticlepeer-review


In the presence of a spatially linear, time dependent potential, we study discrete lattice effects on a nonlinear Schrödinger breather in the form of a composite excitation comprising two soliton components. We obtain an exact breather solution by generalizing the Hirota method to include the external potential. The solution is a discrete generalization of the two-soliton continuum solution with the initial condition as a superposition of two identitcal solitons. Unlike the continuum breather in the presence of a static ramp, the discrete breather will break up into two spatially separate, coherent structures undergoing bounded individual motions. We show that this breakup is a general discrete effect for breathers in an external potential.

Original languageEnglish (US)
Pages (from-to)1202-1205
Number of pages4
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number1
StatePublished - 1996

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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