On soliton structure of the Vakhnenko equation with a 'dissipative' term: a peculiar fission phenomenon

Details On soliton structure of the Vakhnenko equation with a 'dissipative' term: a peculiar fission phenomenon On soliton structure of the Vakhnenko equation with a 'dissipative' term: a peculiar fission phenomenon

2007-09-20

arxiv.org/abs/0709.3277v1

Physics

Mathematical Physics

19 pages, 11 figures

Scientific paper

In the present work, we investigate the soliton structure of the Vakhnenko
equation with a 'dissipative' term, by means of the Hirota's method. As a
result, we unearth three kinds of soliton solutions depending upon the
dissipation parameter. We further find that the scattering behavior among such
structures exhibits a peculiar feature that may be the fission phenomenon.

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