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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 165, Number 1, Pages 3–24
DOI: https://doi.org/10.4213/tmf6560
(Mi tmf6560)
 

This article is cited in 16 scientific papers (total in 16 papers)

The equivalence of different approaches for generating multisoliton solutions of the KPII equation

M. Boitia, F. Pempinellia, A. K. Pogrebkovb, B. Prinariac

a Dipartimento di Fisica, Universitáa del Salento and Sezione, INFN, Lecce, Italy
b Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
c Department of Mathematics, University of Colorado, Colorado Springs, USA
References:
Abstract: The unexpectedly rich structure of the multisoliton solutions of the KPII equation has previously been explored using different approaches ranging from the dressing method to twisting transformations and the $\tau$-function formulation. All these approaches proved useful for displaying different properties of these solutions and the corresponding Jost solutions. The aim of our investigation is to establish explicit formulas relating all these approaches. We discuss some hidden invariance properties of these multisoliton solutions.
Keywords: KPII equation, Bäcklund transformation, tau function, soliton.
Received: 11.03.2010
English version:
Theoretical and Mathematical Physics, 2010, Volume 165, Issue 1, Pages 1237–1255
DOI: https://doi.org/10.1007/s11232-010-0106-3
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. Boiti, F. Pempinelli, A. K. Pogrebkov, B. Prinari, “The equivalence of different approaches for generating multisoliton solutions of the KPII equation”, TMF, 165:1 (2010), 3–24; Theoret. and Math. Phys., 165:1 (2010), 1237–1255
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v165/i1/p3
  • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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