Exponential Asymptotics for Line Solitons in Two-Dimensional Periodic Potentials

As a first step toward a fully two-dimensional asymptotic theory for the bifurcation of solitons from infinitesimal continuous waves, an analytical theory is presented for line solitons, whose envelope varies only along one direction, in general two-dimensional periodic potentials. For this two-dime...

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Bibliographic Details
Main Authors: Nixon, Sean D., Yang, Jianke, Akylas, Triantaphyllos R.
Other Authors: Massachusetts Institute of Technology. Department of Mechanical Engineering
Format: Article
Language:en_US
Published: Wiley Blackwell 2015
Online Access:http://hdl.handle.net/1721.1/97216
https://orcid.org/0000-0002-5246-4574