Double-periodic solutions in an essentially nonlinear one-dimensional field model

P. K. Silaev, O. A. Khrustalev

M. V. Lomonosov Moscow State University, Faculty of Physics

Abstract: 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.

Received: 14.04.1998

DOI: 10.4213/tmf932

 English version: Theoretical and Mathematical Physics, 1998, 117:2, 1345–1350

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