The analytical solution and stability of multipole surface soliton in nonlocal nonlinear medium

Abstract

In this paper, the research on the multipole surface soliton in nonlocal nonlinear medium is done. Theoretical study indicates that multipole surface soliton in nonlocal nonlinear medium can also be regarded as a half part of a bulk soliton with an antisymmetric amplitude distribution. Using this fact, we could obtain the analytical solution of multipole surface soliton easily. Secondly, comparing the numerical solution acquired by numerical computation with analytical solution, we find that analytical solution is in good agreement with numerical solution. Finally, a research is done on the stability of multipole surface soliton using our model. The result shows that the width of the instability domain of dipole surface soliton is smaller than that of quadrupole bulk soliton. In addition all higher-order multipole surface solitons are unstable.