Quasi-line soliton interactions of the Davey–Stewartson I equation: on the existence of long-range interaction between two quasi-line solitons through a periodic soliton

A periodic soliton is turned into a line soliton accordingly as a parameter point approaches to the boundary of the existing domain in the parameter space for a nonsingular periodic-soliton solution. We will call the periodic soliton with parameters of the neighborhood of the boundary a quasi-line s...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2011-06, Vol.44 (23), p.235204-18
Main Authors: Tajiri, Masayoshi, Arai, Takahito
Format: Article
Language:English
Subjects:
Boundaries
Exact sciences and technology
Mathematical analysis
Physics
Solitons
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Summary:A periodic soliton is turned into a line soliton accordingly as a parameter point approaches to the boundary of the existing domain in the parameter space for a nonsingular periodic-soliton solution. We will call the periodic soliton with parameters of the neighborhood of the boundary a quasi-line soliton in this paper, which seems to be the line soliton. The interaction between two quasiline solitons is the same as the interaction between two line solitons, except for very small parameter-sensitive regions. However, in such parameter regions, there are new long-range interactions between two quasi-line solitons through the periodic soliton as the messenger under some conditions, which cannot be described by the two-line-soliton solution.
ISSN:1751-8121
1751-8113
1751-8121
DOI:10.1088/1751-8113/44/23/235204