Beals, R.; Coifman, R. R. Scattering and inverse scattering for first order systems. (English) Zbl 0514.34021 Commun. Pure Appl. Math. 37, 39-90 (1984). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 8 ReviewsCited in 164 Documents MSC: 34L99 Ordinary differential operators Keywords:eigenvalue problems; nonlinear evolutions; scattering data PDF BibTeX XML Cite \textit{R. Beals} and \textit{R. R. Coifman}, Commun. Pure Appl. Math. 37, 39--90 (1984; Zbl 0514.34021) Full Text: DOI OpenURL References: [1] Ablowitz, Studies in Applied Mathematics 53 pp 249– (1974) · Zbl 0408.35068 [2] Analytic properties of scattering and inverse scattering for first order systems, Dissertation, Yale University. [3] and , Scattering, transformations spectrales, et equations d’evolution nonlinéaires, Séminaire Goulaouic-Meyer-Schwartz 1980–1981, exp. 22, Ecole Polytechnique, Palaiseau. [4] and , eds., Solitons, Topics in Current Physics no. 17, Springer-Verlag, 1980. [5] One and multidimensional completely integrable systems arising from the isospeciral deformation, in Complex Analysis, Microlocal Analysis, and Relativistic Quantum Theory, Lecture Notes in Physics no. 126, Springer-Verlag, 1980. [6] Deift, Comm. Pure Appl. Math. 32 pp 121– (1979) [7] Dubrovin, Uspehi Mat. Nauk 31 pp 55– (1976) [8] Russian Math. Surveys 31 pp 59– (1976) [9] and , Computational Methods of Linear Algebra, Freeman, 1963. [10] Hirota, J. Phys. Soc. Japan 33 pp 1456– (1972) [11] Shabat, Diff. Uravn. 15 pp 1824– (1978) [12] Diff. Equations 15 pp 1299– (1980) [13] Zakharov, Zh. Eksp. Teor. Fiz. 61 pp 118– (1971) [14] Soviet Physics JETP 34 pp 62– (1972) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.