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Teoreticheskaya i Matematicheskaya Fizika, 1998, Volume 116, Number 2, Pages 182–192
DOI: https://doi.org/10.4213/tmf896 (Mi tmf896) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Approximate double-periodic solutions in $(1+1)$-dimensional $\varphi ^4$-theory

S. Yu. Vernova, O. A. Khrustalevb

a Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University
b M. V. Lomonosov Moscow State University, Faculty of Physics
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DOI: https://doi.org/10.4213/tmf896
Abstract: Double-periodic solutions of the Euler–Lagrange equation for the $(1+1)$-dimensional scalar $\varphi^4$-theory are considered. The nonlinear term is assumed to be small, and the Poincarй method is used to seek asymptotic solutions in the standing-wave form. The principal resonance problem, which arises for zero mass, is resolved if the leading-order term is taken in the form of a Jacobi elliptic function.
Received: 27.02.1998
English version:
Theoretical and Mathematical Physics, 1998, Volume 116, Issue 2, Pages 881–889
DOI: https://doi.org/10.1007/BF02557130
Bibliographic databases:
Language: Russian
Citation: S. Yu. Vernov, O. A. Khrustalev, “Approximate double-periodic solutions in $(1+1)$-dimensional $\varphi ^4$-theory”, TMF, 116:2 (1998), 182–192; Theoret. and Math. Phys., 116:2 (1998), 881–889
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
\yr 1998
\vol 116
\issue 2
\pages 881--889
\crossref{https://doi.org/10.1007/BF02557130}
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    • This publication is cited in the following 1 articles:
    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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