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

DOI10.1007/BF02557130zbMath0917.35115OpenAlexW2075225417MaRDI QIDQ1274131

O. A. Khrustalev, S. Yul Vernov

Publication date: 5 August 1999

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02557130

zbMATH Keywords

Euler-Lagrange equationJacobi elliptic functiondouble-periodic solutionsscalar \(\varphi^4\)-theorystanding-wave

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40)

Cites Work

• Unnamed Item
• Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory
• Periodic solutions of nonlinear vibrating strings and duality principles
• Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz

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