Construction of doubly periodic solutions via the Poincaré-Lindstedt method in the case of massless \(\varphi^4\) theory

DOI10.1016/S0378-4754(01)00342-1zbMath0980.35161arXivmath-ph/0012001MaRDI QIDQ5950181

Oleg Khrustalev, Sergey Vernov

Publication date: 2001

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0012001

zbMATH Keywords

periodic solutions\(\varphi^4\) theoryPoincaré uniform expansionstanding waves

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Wave equation (35L05) PDEs in connection with relativity and gravitational theory (35Q75)

Related Items (2)

POINCARé CODE: a package of open-source implements for normalization and computer algebra reduction near equilibria of coupled ordinary differential equations ⋮ Methods for solving singular perturbation problems arising in science and engineering

Uses Software

• REDUCE

Cites Work

• Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz
• Periodic solutions of hamiltonian systems
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