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Genuine nonlinearity and its connection to the modified Korteweg-de Vries equation in phase dynamics. (English) Zbl 1479.35748

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
35C20 Asymptotic expansions of solutions to PDEs
35L65 Hyperbolic conservation laws
78A60 Lasers, masers, optical bistability, nonlinear optics
35Q60 PDEs in connection with optics and electromagnetic theory
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
76B55 Internal waves for incompressible inviscid fluids
76B70 Stratification effects in inviscid fluids
35Q35 PDEs in connection with fluid mechanics
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