Sukhorukov, AndreyKivshar, Yuri2009-09-232010-12-202009-09-232010-12-20Physical Review Letters 91.11 (2003): 113902/1-40031-90071079-7114http://hdl.handle.net/10440/920http://digitalcollections.anu.edu.au/handle/10440/920We analyze nonlinear collective effects in periodic systems with multigap transmission spectra such as light in waveguide arrays or Bose-Einstein condensates in optical lattices. We reveal that the interband interactions in nonlinear periodic structures can be efficiently managed by controlling their geometry. We predict novel types of discrete vector solitons supported by nonlinear coupling between different band gaps and study their stability.4 pageshttp://www.sherpa.ac.uk/romeo/index.php "Author can archive pre-print (ie pre-refereeing) … post-print (ie final draft post-refereeing) … [and] publisher's version/PDF. Link to publisher version … [and] Copyright notice required. Publisher's version/PDF can be used on … employers web site." - from SHERPA/RoMEO site (as at 25/02/10). ©2003 The American Physical SocietyKeywords: Eigenvalues and eigenfunctions; Energy gap; Light polarization; Light transmission; Optical waveguides; Solitons; Optical lattices; Nonlinear optics2003-09-1010.1103/PhysRevLett.91.11390210.1103/PhysRevLett.91.1139022015-12-12