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Pipicano, Felipe Alexander; Grajales, Juan Carlos Muñoz

Well-posedness and computation of solutions of a regularized Benjamin-Ono system. (English) Zbl 1352.42033

Rev. Integr. 34, No. 1, 59-80 (2016).

MSC:

42B37 Harmonic analysis and PDEs
35R09 Integro-partial differential equations
42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
42A45 Multipliers in one variable harmonic analysis
35C07 Traveling wave solutions
44A15 Special integral transforms (Legendre, Hilbert, etc.)
47A75 Eigenvalue problems for linear operators
35Q51 Soliton equations
65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
65T50 Numerical methods for discrete and fast Fourier transforms
76M45 Asymptotic methods, singular perturbations applied to problems in fluid mechanics

Keywords:

regularized Benjamin-Ono system; integro-differential system; Fourier analysis; periodic Hilbert transform; internal waves; periodic travelling wave solutions; spectral methods
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