Document Zbl 0333.34020

Closure of the squared Zakharov-Shabat eigenstates. (English) Zbl 0333.34020

J. Math. Anal. Appl. 54, 849-864 (1976).

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MSC:

34L99	Ordinary differential operators
35P10	Completeness of eigenfunctions and eigenfunction expansions in context of PDEs
47A40	Scattering theory of linear operators
47Gxx	Integral, integro-differential, and pseudodifferential operators

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References:

[1]	Barcilon, V., J. Math. Phys., 15, 429 (1974) · Zbl 0279.34016
[2]	Ablowitz, M. J.; Kaup, D. J.; Newell, A. C.; Segur, H., Stud. App. Math., 53, 249 (1974) · Zbl 0408.35068
[3]	Kaup, D. J., A Perturbation Theory for Inverse Scattering Transforms, SIAM J. Appl. Math. (July 1976), in press
[4]	C. D. Levermore and D. J. Kaup; C. D. Levermore and D. J. Kaup
[5]	Zakharov, V. E.; Shabat, A. B., JETP, 34, 62 (1972)
[6]	Zakharov, V. E.; Manakov, S. V., JEPT Lett., 18, 243 (1973)
[7]	Zakharov, V. E., Z. Eksper. Teoret. Fiz., 65, 219 (1973)
[8]	Dirac, P. A.M, The Principles of Quantum Mechanics (1958), Oxford Press · Zbl 0080.22005
[9]	Weiss, Marie J., Higher Algebra (1949), Wiley: Wiley New York, See for example · Zbl 0034.01011

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