### 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 language | English (US) |
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Pages (from-to) | 1202-1205 |

Number of pages | 4 |

Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |

Volume | 53 |

Issue number | 1 SUPPL. B |

State | Published - Jan 1996 |

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### ASJC Scopus subject areas

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

### Cite this

*Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*,

*53*(1 SUPPL. B), 1202-1205.

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

Research output: Contribution to journal › Article

*Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*, vol. 53, no. 1 SUPPL. B, pp. 1202-1205.

}

TY - JOUR

T1 - Discrete lattice effects on breathers in a spatially linear potential

AU - Cai, David

AU - Bishop, A. R.

AU - Grønbech-Jensen, Niels

PY - 1996/1

Y1 - 1996/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0043112536&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0043112536&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0043112536

VL - 53

SP - 1202

EP - 1205

JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

SN - 1063-651X

IS - 1 SUPPL. B

ER -