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Teoreticheskaya i Matematicheskaya Fizika, 2004, Volume 140, Number 2, Pages 230–240
DOI: https://doi.org/10.4213/tmf89 (Mi tmf89) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Kadomtsev–Petviashvili Equation on the Half-Plane

E. V. Gudkovaa, I. T. Habibullinb

a Ufa State University of Oil and Technology
b Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Full-text PDF (815 kB) Citations (7)
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DOI: https://doi.org/10.4213/tmf89
Abstract: We study the boundary value problem for the Kadomtsev–Petviashvili equation on the half-plane $y>0$ with a homogeneous condition along the boundary. We show that the problem can be efficiently solved using the dressing method. We present explicit solutions for particular cases of the boundary value problem.
Keywords: integrability, boundary conditions, Kadomtsev–Petviashvili equation, Lax pair, Marchenko equation, soliton.
Received: 20.11.2003
English version:
Theoretical and Mathematical Physics, 2004, Volume 140, Issue 2, Pages 1086–1094
DOI: https://doi.org/10.1023/B:TAMP.0000036539.35565.1f
Bibliographic databases:
Language: Russian
Citation: E. V. Gudkova, I. T. Habibullin, “Kadomtsev–Petviashvili Equation on the Half-Plane”, TMF, 140:2 (2004), 230–240; Theoret. and Math. Phys., 140:2 (2004), 1086–1094
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
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\crossref{https://doi.org/10.1023/B:TAMP.0000036539.35565.1f}
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  • https://www.mathnet.ru/eng/tmf/v140/i2/p230
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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