We derive an improved fully explicit expression for the right -hand sides of the matrix KdV hierarchy using the relation to the heat kernel of the one -dimensional SchrΓΆdinger operator. Our method of "matrix elements" produces, moreover, an explicit expression for the powers of a SchrΓΆdinger-like d
An explicit expression for the Korteweg-de Vries hierarchy
β Scribed by Rainer Schimming
- Publisher
- Springer Netherlands
- Year
- 1995
- Tongue
- English
- Weight
- 626 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0167-8019
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π SIMILAR VOLUMES
The acoustic scattering operator on the real line is mapped to a Schro dinger operator under the Liouville transformation. The potentials in the image are characterized precisely in terms of their scattering data, and the inverse transformation is obtained as a simple, linear quadrature. An existenc
Solutions of the Korteweg-de Vries hierarchy are discussed. It is shown that results by Wazwaz [Wazwaz AM. Multiple-soliton solutions of the perturbed KdV equation. Commun Nonlinear Sci Simul 2010;15(11):3270-73] are the well-known consequences of the full integrability for the Korteweg-de Vries hie