New optical soliton solutions of Biswas–Arshed model with Kerr law nonlinearity

Abstract

In this paper, the newly derived solutions for the optical soliton of Kerr law nonlinearity form of Biswas–Arshed model are investigated. The exact solutions are extracted by deploying two different novel methods namely, [Formula: see text]-expansion method and Riccati–Bernoulli sub-ODE method. Furthermore, in different conditions, the resultants show different wave solutions like singular, kink, anti-kink, periodic, rational, exponential and dark soliton solutions. Also, the dynamics of the attained solutions are presented graphically.

On optical soliton solutions of the higher-order Lakshmanan-Porsezian-Daniel model having the cubic-quintic-septic law in the presence of spatio-temporal and chromatic dispersion

“…These equations help researchers and engineers understand the conditions under which solitons can form and propagate. Schrödinger-Hirota [1,2], the complex Ginzburg-Landau [3], Radhakrishnan-Kundu-Lakshmanan [4], Biswas-Arshed [5,6], Biswas-Milovic [7], Kadomtsev-Petviashvili equation with variable coefficients [8], Sasa Satsuma [9][10][11], Chen-Lee-Liu [12,13], the Kundu-Mukherjee-Naskar [14], the Fokas-Lenells [15][16][17] the modified Korteweg-de Vries [18] and Lakshmanan-Porsezian-Daniel [19] equations are some of the important models.…”