A small dispersion limit to the long wave-short wave interaction equations

OpenAlex · İngilizce

We study the small dispersion limit for the three coupled long wave-short wave interaction (LSI) equations, numerically. For this aim, a numerical scheme combining the Fourier pseudo-spectral method in space and a Runge Kutta method in time is constructed. To understand the small dispersion limit, plane wave and solitary wave solutions of LSI equations are considered.