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A nonlinear difference scheme and inverse scattering. (English) Zbl 0338.35002


MSC:

35A35 Theoretical approximation in context of PDEs
35R30 Inverse problems for PDEs
35P25 Scattering theory for PDEs
35K55 Nonlinear parabolic equations
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
47A40 Scattering theory of linear operators
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References:

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[5] Ablowitz, Stud. Appl. Math. 53 pp 249– (1974) · Zbl 0408.35068
[6] Flashka, Prog. Theor. Phys. 51 pp 703– (1974) · Zbl 0942.37505
[7] Case, J. Math. Phys. 14 pp 916– (1973)
[8] Case, J. Math. Phys. 14 pp 916– (1973)
[9] Ablowitz, J. Math. Phys. 16 pp 598– (1975) · Zbl 0296.34062
[10] Kac, Proc. Natl. Acad. Sci. 72 pp 1627– (1975) · Zbl 0343.34003
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