Calogero, Francesco; Degasperis, Antonio Spectral transform and solitons: tools to solve and investigate nonlinear evolution equations. Vol. 1. (English) Zbl 0501.35072 Studies in Mathematics and its Applications, Vol. 13. Amsterdam -New York - Oxford: North-Holland Publishing Company. XV, 516 p. $ 111.50; Dfl. 240.00 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 5 ReviewsCited in 153 Documents MSC: 35Q99 Partial differential equations of mathematical physics and other areas of application 35J10 Schrödinger operator, Schrödinger equation 34L99 Ordinary differential operators 81Uxx Quantum scattering theory 35A30 Geometric theory, characteristics, transformations in context of PDEs 35P25 Scattering theory for PDEs 81-02 Research exposition (monographs, survey articles) pertaining to quantum theory 35-02 Research exposition (monographs, survey articles) pertaining to partial differential equations 34-02 Research exposition (monographs, survey articles) pertaining to ordinary differential equations Keywords:bibliography; inverse scattering transform; spectral transform; soliton; integrable nonlinear evolution equations; Bäcklund transformations; Schrödinger spectral transform on the line; one-dimensional Schrödinger operator PDFBibTeX XML