首页|Dynamics of fundamental and double-pole breathers and solitons for a nonlinear Schr?dinger equation with sextic operator under non-zero boundary conditions
Dynamics of fundamental and double-pole breathers and solitons for a nonlinear Schr?dinger equation with sextic operator under non-zero boundary conditions
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We study the dynamics of fundamental and double-pole breathers and solitons for the focusing and defocusing non-linear Schrödinger equation with the sextic operator under non-zero boundary conditions.Our analysis mainly focuses on the dynamical properties of simple-and double-pole solutions.Firstly,through verification,we find that solutions under non-zero boundary conditions can be transformed into solutions under zero boundary conditions,whether in simple-pole or double-pole cases.For the focusing case,in the investigation of simple-pole solutions,temporal periodic breather and the spatial-temporal periodic breather are obtained by modulating parameters.Additionally,in the case of multi-pole solitons,we analyze parallel-state solitons,bound-state solitons,and intersecting solitons,providing a brief analysis of their interac-tions.In the double-pole case,we observe that the two solitons undergo two interactions,resulting in a distinctive"triangle"crest.Furthermore,for the defocusing case,we briefly consider two situations of simple-pole solutions,obtaining one and two dark solitons.
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