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Zbl 0472.35002
Ablowitz, Mark J.; Segur, Harvey
Solitons and the inverse scattering transform. (English)
[B] SIAM Studies in Applied Mathematics, 4. Philadelphia: SIAM - Society for Industrial and Applied Mathematics. X, 425 p. \$ 54.50 (1981).

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MSC 2000:: *35-02 Research monographs (partial differential equations)
35A22 Transform methods (PDE)
35P25 Scattering theory (PDE)
35Q99 PDE of mathematical physics and other areas
35G10 Initial value problems for linear higher-order PDE
35K25 Higher order parabolic equations, general
35J10 Schroedinger operator
76B25 Solitary waves, etc. (inviscid fluids)

Keywords: inverse scattering transform; solitons; Korteweg-de Vries equation; nonlinear evolution equation; difference equations; periodic boundary conditions; Bäcklund transformations; Hirota's method; Painleve property; fixed singularities; Sine-Gordon equations; Fourier transform method; nonlinear wave theory

Cited in: Zbl 0912.58017 Zbl 0621.35003 Zbl 0514.76013 Zbl 0496.35001

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