We have investigated the modulation instability (MI) analysis of a nonautonomous $$(3+1)$$ -dimensional coupled nonlinear Schrödinger (NLS) equation with time-dependent dispersion and phase coefficients. By employing standard linear stability analysis, we obtained an explicit expression for MI gain as function dispersion, modulation, perturbation wave numbers initial incidence power. A NLS is f...

In this study, the (3+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation that indicated propagation of nonlinear dispersive waves in inhomogeneous media is given for consideration. The generalized exponential rational function method used to seek some new exact solutions considered equation. three-dimensional surfaces and two-dimensional graphs obtained are plotted by choosing appropriate values...

This study presents utilization of Jacobi elliptic function expansion method to obtain the di¤erent types solutions 3+1dimensional Boussinesq equation with dual dispersion. By using this hyperbolic and trigonometric functionsolutions are also obtained. The resulting outcomes verify that preferred is valid reliable for analytical technique an extensive application nonlinear phenomena.