Linear Subspaces of Solutions Applied to Hirota Bilinear Equations

Linear Subspaces of Solutions Applied to Hirota Bilinear Equations

Abstract - Linear subspace of solution is applied to Boussinesq and Kadomtseve-Petviashvili (KP) equations using Hirota bilinear transformation. A sufficient and necessary condition for the existence of linear subspaces of exponential travelling wave solutions to Hirota bilinear equations is applied to show that multivariate polynomials whose zeros form a vector space can generate the desire Hirota bilinear equations with given linear subspaces of solutions and formulate such multivariate polynomials by using multivariate polynomials which have one and only one zero.Keywords: Hirota bilinear form, solton solution, N-wave solution, linear subspaces.

Adamu, M. Y.; Mathematical Sciences Programme, Abubakar Tafawa Balewa University

Suleiman, E.; Mathematical Sciences Programme, Abubakar Tafawa Balewa University

Aceh International Journal of Science and Technology; Vol 1, No 2: May - August 2012

2088-9860

Graduate School of Syiah Kuala University

2012-08-01

http://jurnal.unsyiah.ac.id/AIJST/article/view/125/118

application/pdf

eng

info:eu-repo/semantics/article

info:eu-repo/semantics/publishedVersion

Peer-reviewed Article

http://jurnal.unsyiah.ac.id/AIJST/article/view/125

10.13170/aijst.1.2.125