Volume 16, Issue 2, June 2009, Pages 127 - 139
Solutions of the Extended Kadomtsev–Petviashvili–Boussinesq Equation by the Hirota Direct Method
Department of Mathematics, Faculty of Science, Bilkent University, 06800 Ankara, Turkey
Received 29 January 2007, Accepted 29 August 2008, Available Online 7 January 2021.
- 10.1142/S1402925109000121How to use a DOI?
- The Hirota direct method; non-integrable equations; exact solutions; solitons; Kadomtsev–Petviashvili equation; Boussinesq equation
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 iswhere aij = aji are constants and xi = (x, t, y, z, . . . ,xM). 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 Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Asli Pekcan PY - 2021 DA - 2021/01/07 TI - Solutions of the Extended Kadomtsev–Petviashvili–Boussinesq Equation by the Hirota Direct Method JO - Journal of Nonlinear Mathematical Physics SP - 127 EP - 139 VL - 16 IS - 2 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925109000121 DO - 10.1142/S1402925109000121 ID - Pekcan2021 ER -