Topologically protected edge gap solitons of interacting Bosons in one-dimensional superlattices<xref rid="cpb_27_6_060307_fn1" ref-type="fn">*</xref> <fn id="cpb_27_6_060307_fn1"> <label>*</label> <p>Project supported by the Natural Science Foundation of Hebei Province, China (Grant Nos. A2012203174 and A2015203387) and the National Natural Science Foundation of China (Grant Nos. 10974169 and 11304270).</p> </fn>

Topologically protected edge gap solitons of interacting Bosons in one-dimensional superlattices* *

Project supported by the Natural Science Foundation of Hebei Province, China (Grant Nos. A2012203174 and A2015203387) and the National Natural Science Foundation of China (Grant Nos. 10974169 and 11304270).

Guo Xi-Hua, Xu Tian-Fu^†, Liu Cheng-Shi^‡

(color online) The figure shows three extended states and how the three states can be obtained by the tight binding approximate method under the open boundary condition. The wave functions shown by blue solid lines are obtained by solving the nonlinear Schrödinger equation (1) with the difference method directly. The black circled lines show the wave functions by the tight binding approximate method.