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