Numerical simulation of modified nonlinear Schrodinger equation and turbulence generation

This article presents a numerical model to study wave turbulence in fluids. The equation is derived by incorporating energy conservation (along with the usual fluid equations of compressible flow), and source nonlinearity rise temperature due acoustic wave's high amplitude. nonlinear Schrödinger (NLS) modified (MNLS) have been then solved numerically. A simulation MNLS used for investigating generation semi-analytical method understand physics localized structures waves. based on pseudo-spectral approach resolve spatial regimes, finite difference temporal evolution. results show periodic pattern viz. Fermi–Pasta–Ulam (FPU) recurrence NLS, while breaks down FPU MNLS. turbulent power spectrum inertial sub-range approximately follows Kolmogorov–Zakharov scaling (∼k−1.2).