Solutions of the extended Kadomtsev-Petviashvili-Boussinesq equation by the Hirota direct method

Date

2009

Authors

Pekcan, A.

Editor(s)

Advisor

Supervisor

Co-Advisor

Co-Supervisor

Instructor

BUIR Usage Stats
0
views
7
downloads

Citation Stats

Series

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).

Source Title

Journal of Nonlinear Mathematical Physics

Publisher

Taylor & Francis Asia Pacific (Singapore)

Course

Other identifiers

Book Title

Degree Discipline

Degree Level

Degree Name

Citation

Published Version (Please cite this version)

Language

English