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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 159, Number 3, Pages 448–458
DOI: https://doi.org/10.4213/tmf6364 (Mi tmf6364) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Matrix solutions of a noncommutative KP equation and a noncommutative mKP equation

C. R. Gilson, J. C. Nimmo, C. M. Sooman

University of Glasgow
Full-text PDF (420 kB) Citations (11)
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DOI: https://doi.org/10.4213/tmf6364
Abstract: We consider matrix solutions of a noncommutative KP and a noncommutative mKP equation; these solutions can be expressed as quasideterminants. In particular, we investigate the interaction of two-soliton solutions.
Keywords: binary Darboux transformation, quasideterminant, matrix solution, noncommutative KP equation, noncommutative mKP equation.
English version:
Theoretical and Mathematical Physics, 2009, Volume 159, Issue 3, Pages 796–805
DOI: https://doi.org/10.1007/s11232-009-0068-5
Bibliographic databases:
Language: Russian
Citation: C. R. Gilson, J. C. Nimmo, C. M. Sooman, “Matrix solutions of a noncommutative KP equation and a noncommutative mKP equation”, TMF, 159:3 (2009), 448–458; Theoret. and Math. Phys., 159:3 (2009), 796–805
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf6364
  • https://www.mathnet.ru/eng/tmf/v159/i3/p448
    • This publication is cited in the following 11 articles:
    1. Sandra Carillo, Cornelia Schiebold, NODYCON Conference Proceedings Series, Advances in Nonlinear Dynamics, Volume III, 2024, 565  crossref
    2. Muhammad Kashif, Chunxia Li, Mengyuan Cui, “Noncommutative versions of the KP and modified KP equations with self-consistent sources”, Physics Letters A, 525 (2024), 129927  crossref
    3. Egmont Porten, Cornelia Schiebold, Contemporary Mathematics, 807, Recent Progress in Special Functions, 2024, 197  crossref
    4. Hongxia Wu, Chunxia Li, Haifeng Wang, “The Extension of Noncommutative Modified KP Hierarchy and Its Quasideterminant Solutions”, Axioms, 13:12 (2024), 816  crossref
    5. Zhihao Shi, Shangshuai Li, Da-jun Zhang, “Cauchy matrix approach to the noncommutative Kadomtsev–Petviashvili equation with self-consistent sources”, Theoret. and Math. Phys., 213:3 (2022), 1686–1697  mathnet  crossref  crossref  mathscinet  adsnasa
    6. Riaz H. Wajahat A., ul Hassan M., “An Integrable Noncommutative Generalization of the Ab System and Its Multisoliton Solutions”, Commun. Nonlinear Sci. Numer. Simul., 79 (2019), UNSP 104936  crossref  mathscinet  isi
    7. Ariznabarreta G., Garcia-Ardila J.C., Manas M., Marcellan F., “Non-Abelian Integrable Hierarchies: Matrix Biorthogonal Polynomials and Perturbations”, J. Phys. A-Math. Theor., 51:20 (2018), 205204  crossref  mathscinet  isi  scopus  scopus
    8. Hongxia Wu, Jingxin Liu, Chunxia Li, “Quasideterminant solutions of the extended noncommutative Kadomtsev–Petviashvili hierarchy”, Theoret. and Math. Phys., 192:1 (2017), 982–999  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    9. Hamanaka M., “Noncommutative Solitons and Quasideterminants”, Phys. Scr., 89:3 (2014), 038006  crossref  adsnasa  isi  scopus  scopus
    10. Chvartatskyi O.I., Sydorenko Yu.M., “A New Bidirectional Generalization of (2+1)-Dimensional Matrix K-Constrained Kadomtsev-Petviashvili Hierarchy”, J. Math. Phys., 54:11 (2013), 113508  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    11. Zhu Xiao-Ming, Zhang Da-Jun, Li Chun-Xia, “Quasideterminant Solutions of a Noncommutative Nonisospectral Kadomtsev-Petviashvili Equation”, Commun Theor Phys (Beijing), 55:5 (2011), 753–759  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    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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