Stability of Multipole-mode Solitons in Thermal Nonlinear Media

Nonlinear Sciences – Pattern Formation and Solitons

Scientific paper

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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.

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