Discrete lattice effects on breathers in a spatially linear potential

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

Research output: Contribution to journalArticle

Abstract

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 identical 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
Volume53
Issue number1 SUPPL. B
StatePublished - Jan 1996

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Breathers
solitary waves
Solitons
Breakup
continuums
Continuum
Discrete Breathers
Hirota Method
ramps
Coherent Structures
Superposition
Linear Time
Initial conditions
composite materials
Excitation
Composite
excitation
Motion

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Discrete lattice effects on breathers in a spatially linear potential. / Cai, David; Bishop, A. R.; Grønbech-Jensen, Niels.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 53, No. 1 SUPPL. B, 01.1996, p. 1202-1205.

Research output: Contribution to journalArticle

Cai, David ; Bishop, A. R. ; Grønbech-Jensen, Niels. / Discrete lattice effects on breathers in a spatially linear potential. In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 1996 ; Vol. 53, No. 1 SUPPL. B. pp. 1202-1205.
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