The nondegenerate solitons solutions for the generalized coupled higher-order nonlinear Schrödinger equations with variable coefficients via the Hirota bilinear method.

In this paper, the generalized coupled higher-order nonlinear Schrödinger equations (GCHNLSEs) with variable coefficients, describing the propagation of femtosecond pulse with high peak power in birefringence fibers and inhomogeneous media, are researched by the Hirota bilinear method. The nondegenerate two-solitons and nondegenerate N -solitons solutions for these equations are obtained successfully for the first time. Then, we attain the v -shape, u -shape and wave-type double-hump solitons by adjusting the group velocity dispersion, cross-phase modulation and group velocity effect. Finally, through selecting the appropriate complex wave parameters, we change the distances between solitons and analyze the dynamic behaviors of the collisions. • The N-nondegenerate solitons for the GCHNLSEs are obtained for the first time. • The obtained double-hump nondegenerate solitons have more physical properties. • The GCHNLSEs describe the propagation of femtosecond pulses with peak power. [ABSTRACT FROM AUTHOR]