Small-amplitude solutions of the sine-Gordon equation on an interval under dirichlet or Neumann boundary conditions

Author:

Bobenko A. I.,Kuksin S. B.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Engineering,Modeling and Simulation

Reference18 articles.

1. Arnold, V. I. Proof of a theorem of A. N. Kolmogorov on the conservation of quasiperiodic motions under a small change of the Hamiltonian function,Uspekhi Mat. Nauk,18(5) (1963) 13?40; English transi.Russian Math. Surveys 18(5) (1963) 9?36.

2. Baker, H. F.Abel's Theorem and the Allied Theory, Including the Theory of Theta-Functions, Cambridge University Press, Cambridge (1897).

3. Belokolos, E. D., Bobenko, A. I., Enolskii, V. Z., Its, A. R., Matveev, V. B.Algebro-Geometric Approach to Nonlinear Integrable Equations, Springer-Verlag, Berlin (1994).

4. Bikbaev, R. E., Kuksin, S. B. A periodic boundary value problem for the sine-Gordon equation, small Hamiltonian perturbations of it, and KAM-deformations of finite-gap tori,Algebra in Analiz 4(3) (1992) 42?78; English transi.St. Petersburg Math. J. 4 (1993) 439?468.

5. Bobenko, A. I. Schottky uniformization and the finite-gap integration,Dokl. Akad. Nauk SSSR 295 (1987) 268?272; English transi.Sov. Math. Dokl. 36 (1988) 38?42.

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Periodic solutions of the sinh-Gordon equation and integrable systems;Differential Geometry and its Applications;2017-10

2. Hamiltonian PDEs;Handbook of Dynamical Systems;2006

3. The Nonlinear Schrödinger Equation as Both a PDE and a Dynamical System;Handbook of Dynamical Systems;2002

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