Nonpersistence of breather families for the perturbed sine Gordon equation

Author:

Denzler Jochen

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference28 articles.

1. Ablowitz, M.J., Kaup, D.J., Newell, A.C., Segur, H.: The inverse scattering transform-Fourier analysis for nonlinear problems. Studies in Appl. Math. Vol. LIII, No. 4, 249–315 (1974)

2. Ablowitz, M.J., Kaup, D.J., Newell, A.C., Segur, H.: Method for solving the sine-Gordon equation. Phys. Rev. Lett.30, 1262–1264 (1973)

3. Barone, A., Esposito, F., Magee, C.J., Scott, A.C.: Theory and applications of the sine-Gordon equation. Rivista del Nuovo Cimento1, 227–267 (1971)

4. Bikbaev, P.F., Kuksin, S.B.: Periodic boundary value problem for the sine-Gordon equation, its small Hamiltonian perturbations, and KAM deformations of finite gap tori. To appear in Algebra i analiz (St. Petersburg Mathematical Journal)3, 3 (1992)

5. Birnir, B., McKean, H., Weinstein, A.: Nonexistence of breathers. Private communication of draft, 1990, to appear in Comm. Pure Appl. Math.

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