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Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 126, Number 1, Pages 102–114
DOI: https://doi.org/10.4213/tmf417 (Mi tmf417) 		 
This article is cited in 29 scientific papers (total in 29 papers)

Multisoliton Solutions of the Matrix KdV Equation

V. M. Goncharenko

Finance Academy under the Government of the Russian Federation
Full-text PDF (253 kB) Citations (29)
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DOI: https://doi.org/10.4213/tmf417
Abstract: We consider multisoliton solutions of the matrix KdV equation. We obtain the formulas for changing phases and amplitudes during the interaction of two solitons and prove that no multiparticle effects appear during the multisoliton interaction. We find the conditions ensuring the symmetry of the corresponding solutions of the matrix KdV equation if they are constructed by the matrix Darboux transformation applied to the Schrödinger operator with zero potential.
Received: 05.07.2000
English version:
Theoretical and Mathematical Physics, 2001, Volume 126, Issue 1, Pages 81–91
DOI: https://doi.org/10.1023/A:1005254131618
Bibliographic databases:
Language: Russian
Citation: V. M. Goncharenko, “Multisoliton Solutions of the Matrix KdV Equation”, TMF, 126:1 (2001), 102–114; Theoret. and Math. Phys., 126:1 (2001), 81–91
Citation in format AMSBIB
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    • This publication is cited in the following 29 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :340
    References:81
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