Open AccessLeast action principle for dissipative solitons and its application in two-dimensional PBG structure
Author(s) -
Tan Kang-Bo,
Liang Chen
Publication year - 2007
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.56.2704
Subject(s) - dissipative system , physics , soliton , amplitude , dissipative soliton , parametric statistics , dissipation , action (physics) , variational principle , quantum mechanics , condensed matter physics , classical mechanics , nonlinear system , mathematics , statistics
Dissipative and coherent effects of X-point solitons are investigated on the basis of dynamic variational formulation in two-dimensional photonic bandgap (PBG) structure of square lattice. Through the least action principle, the result deduced from analyzing soliton parametric equations indicates that dissipative effect leads to not only amplitude decrease but also section expansion of solitons. In addition, co-soliton interaction for negative potential is decreased by dissipation, and bound sate of solitons in x direction is also weakened. Amplitude and period of fluctuation of relative interval between soliton centers increase in x direction, when x increases to some value, relative interval will increase continuously.