WKB analysis for the three coupled long wave–short wave interaction equations
DOI10.1080/00036811.2018.1538503zbMath1456.81191OpenAlexW2898872726MaRDI QIDQ5147287
Publication date: 3 February 2021
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2018.1538503
WKB analysissplit-step Fourier methodquasilinear hyperbolic systemlong waveshort wavedispersive perturbation
PDEs in connection with fluid mechanics (35Q35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear higher-order PDEs (35G25) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Noncompact semigroups, dispersive equations, perturbations of infinite-dimensional dissipative dynamical systems (37L50) Second-order quasilinear hyperbolic equations (35L72)
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