Associated sturm-liouville systems
TLDR
Crum's seminal result of 1955 is archived here as mentioned in this paper and can be viewed as a starting point for the present paper, and is discussed in Section 5.2.1.Abstract:
Crum's seminal result of 1955 is archived hereread more
Citations
More filters
MonographDOI
Bäcklund and Darboux transformations : geometry and modern applications in soliton theory
Colin Rogers,Wolfgang K. Schief +1 more
TL;DR: Backlund-Darboux transformations with their remarkable associated nonlinear superposition principles and importance in soliton theory have been explored in this article, where the authors also explore the extensive body of literature from the nineteenth and early twentieth centuries by such eminent geometers as Bianchi, Darboux, Backlund, and Eisenhart on transformations of privileged classes of surfaces which leave key geometric properties unchanged.
Journal ArticleDOI
Relationships among Inverse Method, Bäcklund Transformation and an Infinite Number of Conservation Laws
TL;DR: In this article it is shown that inverse method, Backlund transformation and an infinite number of conservation laws are closely related and the derivation of backlund transformation from the fundamental equations of inverse method is explicitly shown.
Book
Spectral Transform and Solitons
TL;DR: In this paper, a terse introduction to the spectral transform technique to solve certain classes of nonlinear evolution equations is given. And the properties of the solutions of these nonlinear PDEs are discussed.
Book
The Inverse Problem in the Quantum Theory of Scattering...
L. D. Faddeyev,B. Seckler +1 more
TL;DR: In this paper, a translation from the Russian of a survey article by L. D. Faddeyev appeared in Uspekhi Matem, 14, 57 (1959).
References
More filters