The main purpose of this paper is to present an explicit formula for the general hierarchy of soliton equations constructed by Kac-Wakimoto from the basic representation of an arbitrary affine Kac-Moody algebra. The results turn out that the differential operators of the corresponding Hirota bilinea
On the Resolution of Resultant Type Equations
✍ Scribed by István Gaál
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 228 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0747-7171
No coin nor oath required. For personal study only.
✦ Synopsis
Given an irreducible polynomial P ∈ Z[X] of degree at least three and 0 = a ∈ Z we are going to determine all those monic quadratic polynomials
This is the first attempt for the complete resolution of resultant type equations. We illustrate our algorithm with a detailed example.
📜 SIMILAR VOLUMES
## Abstract Some boundaries about the solution of the linear Volterra integral equations of the form __f__(__t__)=1−__K\*f__ were obtained as |__f__(__t__)|⩽1, |__f__(__t__)|⩽2 and |__f__(__t__)|⩽4 in (__J. Math. Anal. Appl.__ 1978; **64**:381–397; __Int. J. Math. Math. Sci.__ 1982; **5**(1):123–13
## Abstract Continuous dependence on a modelling parameter are established for solutions to a problem for a complex Ginzburg–Landau equation. We establish continuous dependence on the coefficient of the cubic term, and also on the coefficient of the term multiplying the Laplacian. Copyright 2003 Jo
proposed a simple iterative procedure to solve approximately a forced convection heat-transfer problem inside a tube subjected to nonlinear convective boundary conditions. Their technique relied on solutions of a one-dimensional ordinary differential equation of first order to estimate the behavior