Aceh International Journal of Science and Technology
Vol 1, No 2 (2012): August 2012

Linear Subspaces of Solutions Applied to Hirota Bilinear Equations

M. Y. Adamu (Mathematical Sciences Programme, Abubakar Tafawa Balewa University)
E. Suleiman (Mathematical Sciences Programme, Abubakar Tafawa Balewa University)

Article Info

Publish Date
01 Aug 2012

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.

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Journal Info
Aceh International Journal of Science and Technology
Website

Abbrev

AIJST

Publisher

Universitas Syiah Kuala

Subject

Agriculture, Biological Sciences & Forestry Chemical Engineering, Chemistry & Bioengineering Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences

Description

Aceh International Journal of Science & Technology (AIJST) is published by the Graduate School of Syiah Kuala University (PPs Unsyiah) and the Indonesian Soil Science Association (Himpunan Ilmu Tanah Indonesia, Komda Aceh). It is devoted to identifying, mapping, understanding, and interpreting new ...