Discrete lattice effects on breathers in a spatially linear potential

Journal Article · Mon Jan 01 04:00:00 EST 1996 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.53.1202· OSTI ID:277272

Cai, D; Bishop, A R

In the presence of a spatially linear, time dependent potential, we study discrete lattice effects on a nonlinear Schr{umlt o}dinger 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. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 277272
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 1 Vol. 53; ISSN 1063-651X; ISSN PLEEE8
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
EXCITATION
EXTERNAL FIELDS
FOURIER TRANSFORMATION
INVERSE SCATTERING PROBLEM
LATTICE VIBRATIONS
NONLINEAR PROBLEMS
POTENTIAL ENERGY
SCHROEDINGER EQUATION
SOLITONS