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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 99, Number 2, Pages 263–277 (Mi tmf1586)  
This article is cited in 50 scientific papers (total in 50 papers)

Generalized conditional symmetries and exact solutions of non-integrable equations

A. S. Fokasa, Q. M. Liub

a Loughborough University
b Clarkson University
Full-text PDF (1157 kB) Citations (50)
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Abstract: We introduce the concept of a generalized conditional symmetry. This concept provides an algorithm for constructing physically important exact solutions of non-integrable equations. Examples include 2-shock and 2-soliton solutions. The existence of such exact solutions for non-integrable equations can be traced back to the relation of these equations with integrable ones. In this sense these exact solutions are remnants of integrability.
English version:
Theoretical and Mathematical Physics, 1994, Volume 99, Issue 2, Pages 571–582
DOI: https://doi.org/10.1007/BF01016141
Bibliographic databases:
Language: English
Citation: A. S. Fokas, Q. M. Liu, “Generalized conditional symmetries and exact solutions of non-integrable equations”, TMF, 99:2 (1994), 263–277; Theoret. and Math. Phys., 99:2 (1994), 571–582
Citation in format AMSBIB
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\paper Generalized conditional symmetries and exact solutions of non-integrable equations
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\yr 1994
\vol 99
\issue 2
\pages 263--277
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1308788}
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\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 99
\issue 2
\pages 571--582
\crossref{https://doi.org/10.1007/BF01016141}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994PV07100013}
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  • https://www.mathnet.ru/eng/tmf/v99/i2/p263
    • This publication is cited in the following 50 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:372
    Full-text PDF :156
    References:56
    First page:2
     
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