Exploration of some novel solutions to a coupled Schrödinger–KdV equations in the interactions of capillary-gravity waves

Traveling Wave Optical Solutions for the Generalized Fractional Kundu–Mukherjee–Naskar (gFKMN) Model

“…The development of new analytical and numerical methods for solving and analyzing FDEs has opened up new avenues for research and has led to a better understanding of complex phenomena. So far, abundant efficient techniques have been proposed for obtaining exact solutions of nonlinear fractional problems such as the generalized projective Riccati equation method [1], the exponential rational function method [2], the sine-Gordon expansion method [3], the auxiliary ordinary differential equation method and the generalized Riccati method [4], the first integral method [5], the Lie symmetry approach [6], the modified Kudryashov method [7], the modified auxiliary equation method [8], the extended exp(−Φ(ξ))-expansion technique [9], the unified method [10], and so on [11][12][13][14]. In the present research, we aim to derive traveling wave solutions to the generalized fractional Kundu-Mukherjee-Naskar (gFKMN) model, which has a dimensionless display as follows [15][16][17][18][19]:…”