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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 160, Number 1, Pages 23–34
DOI: https://doi.org/10.4213/tmf6375 (Mi tmf6375) 		 
This article is cited in 22 scientific papers (total in 22 papers)

Exact solutions of a generalized Boussinesq equation

M. S. Bruzón

Universidad de Cadiz
Full-text PDF (1147 kB) Citations (22)
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DOI: https://doi.org/10.4213/tmf6375
Abstract: We analyze a generalized Boussinesq equation using the theory of symmetry reductions of partial differential equations. The Lie symmetry group analysis of this equation shows that the equation has only a two-parameter point symmetry group corresponding to traveling-wave solutions. To obtain exact solutions, we use two procedures: a direct method and the $G'/G$-expansion method. We express the traveling-wave solutions in terms of hyperbolic, trigonometric, and rational functions.
Keywords: partial differential equation, symmetry, solution.
English version:
Theoretical and Mathematical Physics, 2009, Volume 160, Issue 1, Pages 894–904
DOI: https://doi.org/10.1007/s11232-009-0079-2
Bibliographic databases:
Language: Russian
Citation: M. S. Bruzón, “Exact solutions of a generalized Boussinesq equation”, TMF, 160:1 (2009), 23–34; Theoret. and Math. Phys., 160:1 (2009), 894–904
Citation in format AMSBIB
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\paper Exact solutions of a~generalized Boussinesq equation
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\transl
\jour Theoret. and Math. Phys.
\yr 2009
\vol 160
\issue 1
\pages 894--904
\crossref{https://doi.org/10.1007/s11232-009-0079-2}
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  • https://www.mathnet.ru/eng/tmf/v160/i1/p23
    • This publication is cited in the following 22 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:1078
    Full-text PDF :420
    References:73
    First page:40
     
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