A numerical calculation of a weakly non-local solitary wave: the ϕ4breather
- 1 February 1990
- journal article
- Published by IOP Publishing in Nonlinearity
- Vol. 3 (1), 177-195
- https://doi.org/10.1088/0951-7715/3/1/010
Abstract
The breather of the phi 4 field theory decays by radiation to infinity. The concept of a solitary wave is still useful, however, because alpha , the amplitude of the 'far field' radiation, is exponentially small in in , the breather amplitude. (The phrase 'weakly non-local' in the title means that the quasisoliton has non-zero but very tiny amplitude as mod x mod to infinity .) The author introduces novel numerical methods to compute phi 4 breathers. He calculates solutions both on a finite, spatially periodic interval and on x in (- infinity , infinity ).Keywords
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