On the 3-wave Equations with Constant Boundary Conditions
作者： Georgi G. Grahovski , Vladimir S. Gerdjikov
DOI:
关键词: Riemann surface 、 Inverse scattering transform 、 Mathematics 、 Boundary value problem 、 Constant (mathematics) 、 Inverse scattering problem 、 Lax pair 、 Mathematical analysis 、 Wave equation 、 Operator (physics)
摘要: The inverse scattering transform for a special case of the 3-wave resonant interaction equations with non-vanishing boundary conditions is studied. Jost solutions and fundamental analytic (FAS) associated spectral problem are constructed. Lax operator formulated as Riemann-Hilbert on Riemann surface. properties formulated.
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