Solutions of the nonlinear 3-wave equations in three spatial dimensions
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Publication:3860265
DOI10.1063/1.524272zbMath0425.35088OpenAlexW2062708604MaRDI QIDQ3860265
Publication date: 1979
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.524272
degenerate kernelsinversionlike integral equations3-wave evolution equationsnonlinear 3-wave equationsthree-dimensional coordinate space
Wave equation (35L05) Partial differential equations of mathematical physics and other areas of application (35Q99) Integral equations with miscellaneous special kernels (45H05)
Related Items (10)
On the three-dimensional three-wave equation with self-consistent sources ⋮ Discrete three-dimensional three wave interaction equation with self-consistent sources ⋮ On the inverse scattering transform of multidimensional nonlinear equations related to first-order systems in the plane ⋮ The Darboux system: Finite-rank constraints and Darboux transformations ⋮ The inverse scattering solution for the full three dimensional three-wave resonant interaction ⋮ The solution of the general initial value problem for the full three dimensional three-wave resonant interaction ⋮ Method for Solving the Multidimensional n-Wave Resonant Equations and Geometry of Generalized Darboux-Manakov-Zakharov Systems ⋮ Analysis and applications of the symmetry group of the multidimensional three-wave resonant interaction problem ⋮ The lump solutions and the Bäcklund transformation for the three-dimensional three-wave resonant interaction ⋮ On the symmetry groups of the intrinsic generalized wave and sine–Gordon equations
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