Related papers: Single vortex in a 2D optical lattices

This paper has been withdrawn by the author. A much more revised version is available as arXiv:0909.4238.

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We report on the frst experimental observation of discrete vortex solitons in two-dimensional optically-induced photonic lattices. We demonstrate strong stabilization of an optical vortex by the lattice in a self-focusing nonlinear medium…

This paper has been withdrawn by the author due to a crucial error.

This paper has been withdrawn by the author due to similarity to the author's other paper

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The paper is being withdrawn. A new submission will follow.

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This paper has been withdrawn due to a missing hypothesis in the main statement.

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This paper has been withdrawn by the author due to the gaps in the proofs of Proposition 2.2 and Proposition 3.2

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This paper was withdrawn by the authors.

This paper has been withdrawn by the authors, due a crucial mistake in Lemma 2

The paper has been withdrawn because the proof of part (b) of the main theorem is incomplete.

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The paper was withdrawn because of its significant overlap with a paper appeared recently.

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The paper has been withdrawn by the author due to a gap in Proof of Theorem 1.1.