Solutions of the extended Kadomtsev-Petviashvili-Boussinesq equation by the Hirota direct method
Date
2009
Authors
Pekcan, A.
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Source Title
Journal of Nonlinear Mathematical Physics
Print ISSN
1402-9251
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Publisher
Taylor & Francis Asia Pacific (Singapore)
Volume
16
Issue
2
Pages
127 - 139
Language
English
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Abstract
We show that we can apply the Hirota direct method to some non-integrable equations. For this purpose, we consider the extended Kadomtsev-Petviashvili- Boussinesq (eKPBo) equation with M variable which is (uxxx-6uu x)x + a11uxx + 2ΣMk=2 a1kuxk + ΣMi,j=2aijuxixj=0, where aij = a ji are constants and xi = (x, t, y, z,⋯,x M). We will give the results for M = 3 and a detailed work on this equation for M = 4. Then we will generalize the results for any integer M > 4. © 2009 The Author(s).