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Journal of Physics A: Mathematical and Theoretical Volume 42 Number 41 Create an alert RSS this journal

Yoichi Nakata 2009 J. Phys. A: Math. Theor. 42 412001 doi:10.1088/1751-8113/42/41/412001

Vertex operator for the ultradiscrete KdV equation

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Yoichi Nakata

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Abstract References Cited By

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We propose an ultradiscrete analogue of the vertex operator in the case of the ultradiscrete KdV equation, which maps N-soliton solutions to N + 1-soliton ones.


PACS

02.30.Ik Integrable systems

02.30.Sa Functional analysis

02.30.Tb Operator theory

MSC

35Q53 KdV-like equations (Korteweg-de Vries, Burgers, sine-Gordon, sinh-Gordon, etc.) (See also 37K10)

35Q58 Other completely integrable equations (See also 37J35, 37K10)

35Q51 Solitons (See also 37K40)

Subjects

Mathematical physics

Dates

Issue 41 (16 October 2009)

Received 13 July 2009, in final form 22 August 2009

Published 22 September 2009



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