Investigation of nonlinear one-dimensional systems by means of the Hamiltonian formalism
| Autor: | V. G. Mikhalev |
|---|---|
| Rok vydání: | 1988 |
| Předmět: |
Camassa–Holm equation
Integrable system Mathematical analysis Statistical and Nonlinear Physics Function (mathematics) Nonlinear system Poisson bracket Nonlinear Sciences::Exactly Solvable and Integrable Systems Amplitude Classical mechanics Covariant Hamiltonian field theory Superintegrable Hamiltonian system Nonlinear Sciences::Pattern Formation and Solitons Mathematical Physics Mathematics |
| Zdroj: | Theoretical and Mathematical Physics. 76:804-809 |
| ISSN: | 1573-9333 0040-5779 |
| Popis: | A method is proposed for investigating the solutions of the weakly perturbed sine-Gordon equation by means of action-angle variables. The Green's function of radiation on the background of many-soliton solutions is calculated in the first approximation in the amplitude. The dynamics of oneand two-soliton solutions is investigated. The Landau-Lifshitz equation (including the nonintegrable modifications) is reduced in a special case to the perturbed sine-Gordon equation. Some solutions are investigated. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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