Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2010-01-02
Nonlinear Sciences
Pattern Formation and Solitons
16 pages, 4 figures, to appear in Phys. Rev. A
Scientific paper
We study the stability of multipole-mode solitons in one-dimensional thermal nonlinear media. We show how the sample geometry impacts the stability of mutlipole-mode solitons and reveal that the tripole and quadrupole can be made stable in their whole domain of existence, provided that the sample width exceeds a critical value. In spite of such geometry-dependent soliton stability, we find that the maximal number of peaks in stable multipole-mode solitons in thermal media is the same as that in nonlinear materials with finite-range nonlocality.
Dong Liangwei
Ye Fangwei
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