TY - UNPB
T1 - Thirring solitons in the presence of dispersion
AU - Champneys, AR
AU - Malomed, BA
AU - Friedman, MJ
N1 - Additional information: Preprint of a paper later published by the American Physical Society (1998), Physical Review Letters, 80 (19), pp.4169-4172, ISSN 0031-9007
PY - 1997
Y1 - 1997
N2 - The effect of dispersion on existence of solitons is studied for the generalized massive Thirring model describing a nonlinear optical fiber with grating or parallel-coupled planar waveguides with misaligned axes. The Thirring solitons existing at zero dispersion are shown numerically to be separated by a finite dispersion gap from three isolated soliton branches. Inside the gap, there is an infinity of multi-soliton branches, which are presumably dynamically unstable. Thus, the Thirring solitons are structurally unstable. In another parameter region (far from the Thirring limit), solitons exist everywhere.
AB - The effect of dispersion on existence of solitons is studied for the generalized massive Thirring model describing a nonlinear optical fiber with grating or parallel-coupled planar waveguides with misaligned axes. The Thirring solitons existing at zero dispersion are shown numerically to be separated by a finite dispersion gap from three isolated soliton branches. Inside the gap, there is an infinity of multi-soliton branches, which are presumably dynamically unstable. Thus, the Thirring solitons are structurally unstable. In another parameter region (far from the Thirring limit), solitons exist everywhere.
KW - Thirring solitons
KW - dispersion
KW - nonlinear optical fiber
KW - generalized massive Thirring model
KW - parallel-coupled planar waveguides
M3 - Working paper
BT - Thirring solitons in the presence of dispersion
ER -