Transverse instability of solitons in nonlinear systems

Abstract

We study the transverse instability associated with higher-dimensional nonlinear systems. For this, a cubic–quintic-nonlinear system is considered wherein the coefficients of cubic and quintic terms are allowed to be of either focusing or defocusing nature. It is found that focusing-cubic and defocusing-quintic nonlinearity can suppress the transverse instability growth rate. The addition of guiding potentials can also suppress the instability growth rate for all kinds of solitons with the same propagation constant.