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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 158, Number 2, Pages 181–199
DOI: https://doi.org/10.4213/tmf6308 (Mi tmf6308) 		 
This article is cited in 7 scientific papers (total in 7 papers)

The Kadomtsev–Petviashvili equation with self-consistent sources in nonuniform media

Hao Hong-haia, Zhang Da-juna, Deng Shu-fangb

a Department of Mathematics, Shanghai University
b East China University of Science and Technology
Full-text PDF (733 kB) Citations (7)
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DOI: https://doi.org/10.4213/tmf6308
Abstract: We derive the nonisospectral Kadomtsev–Petviashvili equation with self-consistent sources and obtain $N$-soliton solutions of the equation by both Hirota's method and the Wronskian technique. We discuss one-soliton characteristics, two-soliton scattering in nonuniform media, and source effects.
Keywords: nonisospectral Kadomtsev–Petviashvili equation with self-consistent sources, Hirota's method, Wronskian technique, dynamical characteristic, soliton resonance.
Received: 17.01.2008
Revised: 10.03.2008
English version:
Theoretical and Mathematical Physics, 2009, Volume 158, Issue 2, Pages 151–166
DOI: https://doi.org/10.1007/s11232-009-0013-7
Bibliographic databases:
Language: Russian
Citation: Hao Hong-hai, Zhang Da-jun, Deng Shu-fang, “The Kadomtsev–Petviashvili equation with self-consistent sources in nonuniform media”, TMF, 158:2 (2009), 181–199; Theoret. and Math. Phys., 158:2 (2009), 151–166
Citation in format AMSBIB
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    • This publication is cited in the following 7 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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