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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)
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DOI: https://doi.org/10.4213/tmf8863
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:
MSC: 35C07;35C08;35C09
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://doi.org/10.4213/tmf8863
  • https://www.mathnet.ru/eng/tmf/v184/i2/p244
    • This publication is cited in the following 2 articles:
    1. Cailing Huo, Lianzhong Li, “Lie Symmetry Analysis, Particular Solutions and Conservation Laws of a New Extended (3+1)-Dimensional Shallow Water Wave Equation”, Symmetry, 14:9 (2022), 1855  crossref
    2. Qian X., Lu D., Arshad M., Shehzad Kh., “Novel Traveling Wave Solutions and Stability Analysis of Perturbed Kaup-Newell Schrodinger Dynamical Model and Its Applications”, Chin. Phys. B, 30:2 (2021), 020201  crossref  isi  scopus
    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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    Full-text PDF :163
    References:52
    First page:18
     
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