Abstract
For the nonlocal sine-Gordon equation u tt−Hu x+sin u=0, where H is the Hilbert transform, a family of breather-like solutions is found numerically. These objects are quite robust and even can be developed from some bell-shaped initial data. Also it is shown that the interactions between the elementary entities which describes this nonlocal equation are not elastic, so it hardly can be integrable.
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© 2004 Kluwer Academic Publishers
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Alfimov, G., Pierantozzi, T., Vázquez, L. (2004). Numerical Study of a Nonlocal Sine-Gordon Equation. In: Abdullaev, F.K., Konotop, V.V. (eds) Nonlinear Waves: Classical and Quantum Aspects. NATO Science Series II: Mathematics, Physics and Chemistry, vol 153. Springer, Dordrecht. https://doi.org/10.1007/1-4020-2190-9_9
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DOI: https://doi.org/10.1007/1-4020-2190-9_9
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-2188-6
Online ISBN: 978-1-4020-2190-9
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