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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 184, Number 2, Pages 244–252
DOI: https://doi.org/10.4213/tmf8863
(Mi tmf8863)
 

This article is cited in 2 scientific papers (total in 2 papers)

Exact two-soliton solutions and two-periodic solutions for the perturbed mKdV equation with variable coefficients

Ying Huang, Lin Liang

School of Mathematics and Statistics, Chuxiong Normal University, Chuxiong, China
Full-text PDF (321 kB) Citations (2)
References:
Abstract: We discuss the Darboux transformation method for a modified Korteweg–de Vries equation with variable coefficients and perturbing terms in detail based on the general form of the Darboux transformations for some nonlinear evolution equations solvable by the Ablowitz–Kaup–Newell–Segur inverse scattering method. We use this method to generate families of two-soliton solutions and two-periodic solutions.
Keywords: Darboux transformation, perturbed mKdV equation, two-soliton solution, two-periodic solution.
Funding agency Grant number
National Natural Science Foundation of China 11261001
Yunnan Provincial Department of Education Research Foundation 2012Y130
Received: 03.02.2015
Revised: 04.03.2015
English version:
Theoretical and Mathematical Physics, 2015, Volume 184, Issue 2, Pages 1106–1113
DOI: https://doi.org/10.1007/s11232-015-0320-0
Bibliographic databases:
Language: Russian
Citation: Ying Huang, Lin Liang, “Exact two-soliton solutions and two-periodic solutions for the perturbed mKdV equation with variable coefficients”, TMF, 184:2 (2015), 244–252; Theoret. and Math. Phys., 184:2 (2015), 1106–1113
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf8863
  • https://doi.org/10.4213/tmf8863
  • https://www.mathnet.ru/eng/tmf/v184/i2/p244
  • This publication is cited in the following 2 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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    Abstract page:474
    Full-text PDF :154
    References:47
    First page:18
     
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