Our paper studies the optical solitons for Kundu–Eckhaus (KE) equation with quintic nonlinearity and Raman effect. By applying improved modified extended tanh-function method, many soliton solutions can be obtained such as bright solutions, dark singular solution. In addition, we obtain various types of namely, periodic exponential rational Jacobi elliptic Weierstrass doubly solutions. Moreover...

The Kundu-Eckhaus equation is a nonlinear partial differential equation which seems in the quantum field theory, weakly nonlinear dispersive water waves and nonlinear optics. In spite of its importance, exact solution to this nonlinear equation are rarely found in literature. In this work, we solve this equation and present a new approach to obtain the solution by means of the combined use of t...

Rogue waves are very mysterious and extra ordinary waves. They appear suddenly even in a calm sea hard to be predicted. Although nonlinear Schrödinger equation provides perspective, it alone can neither detect rogue nor provide complete solution problems. Therefore, some approximations still mandatory for both obtaining an exact predicting Such as Kundu–Mukherjee–Naskar (KMN) model which allows...

The fractional-stochastic Radhakrishnan-Kundu-Lakshmanan equation (FSRKLE) is considered here. To attain new hyperbolic, elliptic, rational, and trigonometric stochastic-fractional solutions, we use two various methods such as the sine-cosine Jacobi elliptic function methods. solutions acquired are important in understanding some interesting physical phenomena due to significance of designing p...