WKB analysis for the three coupled long wave-short wave interaction equations

• Published in: Applicable analysis Vol. 99; no. 9; pp. 1507 - 1527
• Main Authors: Muslu, Gulcin M., Lin, Chi-Kun
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis 03.07.2020; Taylor & Francis Ltd
• Subjects: Computational fluid dynamics; Computer simulation; dispersive perturbation; long wave; Mathematical analysis; quasilinear hyperbolic system; short wave; split-step Fourier method; Wave interaction; WKB analysis

This paper is devoted to the WKB analysis of the three coupled long wave-short wave interaction (LSI for short) equations. We consider the zero-dispersion limit of the LSI for initial data with Sobolev regularity, before the shocks appear in the limit system. For the smooth solution, the limit syste...