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E. Suleiman
Mathematical Sciences Programme, Abubakar Tafawa Balewa University
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Linear Subspaces of Solutions Applied to Hirota Bilinear Equations M. Y. Adamu; E. Suleiman
Aceh International Journal of Science and Technology Vol 1, No 2 (2012): August 2012
Publisher : Graduate Program of Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (424.454 KB) | DOI: 10.13170/aijst.1.2.125

Abstract

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.
Co-Authors M. Y. Adamu