TY - JOUR
T1 - Multisoliton collisions in nearly integrable systems
AU - Frauenkron, Helge
AU - Kivshar, Yuri S.
AU - Malomed, Boris A.
PY - 1996
Y1 - 1996
N2 - We describe basic features of multisoliton collisions in nearly integrable systems taking a perturbed nonlinear Schrödinger equation as an example. Collision of two solitons is shown to become inelastic only due to radiation losses, so that the change of the soliton parameters is small ([Formula Presented], where [Formula Presented] is the perturbation amplitude). For three-soliton collisions we demonstrate, by using a simplectic numerical integration, the existence of a nontrivial nonradiative energy exchange between the colliding solitons already in the first order in [Formula Presented].
AB - We describe basic features of multisoliton collisions in nearly integrable systems taking a perturbed nonlinear Schrödinger equation as an example. Collision of two solitons is shown to become inelastic only due to radiation losses, so that the change of the soliton parameters is small ([Formula Presented], where [Formula Presented] is the perturbation amplitude). For three-soliton collisions we demonstrate, by using a simplectic numerical integration, the existence of a nontrivial nonradiative energy exchange between the colliding solitons already in the first order in [Formula Presented].
UR - https://www.scopus.com/pages/publications/0000635940
U2 - 10.1103/PhysRevE.54.R2244
DO - 10.1103/PhysRevE.54.R2244
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AN - SCOPUS:0000635940
SN - 1063-651X
VL - 54
SP - R2244-R2247
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 3
ER -