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A numerical and theoretical study of certain nonlinear wave phenomena. (English) Zbl 0384.65049


MSC:

65N06 Finite difference methods for boundary value problems involving PDEs
65N22 Numerical solution of discretized equations for boundary value problems involving PDEs
35Q99 Partial differential equations of mathematical physics and other areas of application
35A22 Transform methods (e.g., integral transforms) applied to PDEs
35J60 Nonlinear elliptic equations
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
45K05 Integro-partial differential equations

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