Silaev, P. K.; Khrustalev, O. A. Double-periodic solutions in an essentially nonlinear one-dimensional field model. (English. Russian original) Zbl 0952.81011 Theor. Math. Phys. 117, No. 2, 1345-1350 (1998); translation from Teor. Mat. Fiz. 117, No. 2, 300-307 (1998). Summary: The existence of double-periodic solutions in the one-dimensional \((1+1)\) \(\varphi^4\)-model is shown numerically, and the dispersion law for the corresponding nonlinear waves is found. Cited in 1 Document MSC: 81T10 Model quantum field theories PDFBibTeX XMLCite \textit{P. K. Silaev} and \textit{O. A. Khrustalev}, Theor. Math. Phys. 117, No. 2, 1345--1350 (1998; Zbl 0952.81011); translation from Teor. Mat. Fiz. 117, No. 2, 300--307 (1998) Full Text: DOI References: [1] N. N. Bogoliubov,Ukr. Mat. Zh.,2, 3 (1950). [2] E. P. Solodovnikova, A. N. Tavkhelidze, and O. A. Khrustalev,Theor. Math. Phys.,10, 105 (1972);11, 317 (1972);12, 164 (1972). [3] O. A. Khrustalev, A. V. Razumov, and A. Yu. Taranov,Nucl. Phys. B,172, 44 (1980). [4] K. A. Sveshnikov, P. K. Silaev, and O. A. Khrustalev,Theor. Math. Phys.,80, 790 (1989). · Zbl 0699.53088 [5] O. A. Khrustalev and M. V. Chichikina,Theor. Math. Phys.,111, 583 (1997). · Zbl 0978.81516 [6] W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery,Numerical Recipes in C, Cambridge Univ. Press, Cambrige (1995). · Zbl 0778.65003 [7] P. Anninds, S. Oliveira, and R. A. Matzner,Phys. Rev. D,44, 1147 (1991). This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.