Related papers: Perturbation theory for gap solitons
This paper has been withdrawn due to non-clearness of some technical points, as well as lack of a reasonable statement of quantization conjecture.
Major mistake. The paper has been withdrawn.
This paper has been withdrawn by the authors due to need of essential revision.
This paper has been withdrawn by the author(s), because it contains erroneous conclusion. Some part of the contents of the paper may be used in a future communication.
This paper has been withdrawn by the author, due to errors in the figures.
This paper has been withdrawn by the author. The paper has been accepted for publication in Communications on Pure and Applied Mathematics.
The paper is withdrawn.
This paper has been withdrawn
This paper has been withdrawn. A significantly revised version will be posted in the near future.
There have been comments on this paper which point out unclear motivation and definitions on noncommutative momentum introduced. Therefore, this paper is withdrawn by the author for more clear presentation.
This paper has been withdrawn by the author, due to a crucial error in page 5.
This paper has been withdrawn due to submission of subsequent versions as a new preprint
This paper was withdrawn by the author. It turns out that similar ideas have been presented before. The author apologizes.
This paper has been withdrawn by the author. This draft is withdrawn for its poor quality in english, unfortunately produced by the author when he was just starting his science route. Look at the ICML version instead:…
This paper has been withdrawn by the author.
This paper has been withdrawn by the author due to an error.
This paper has been withdrawn by the authors. Our basic argument on the gauge invariance presented in this paper cannot withstand the criticism which has been drawn to our attention by several colleagues.
This paper has been withdrawn.
This paper has been withdrawn by the authors as requested by the journal.
This paper has been withdrawn by the authors.