This work employs a novel variation of the Sardar sub-equation approach to investigate the optical solitons for the nonlinear Hirota-Schrodinger equation. Different soliton solutions, including bright solitons, dark solitons, ...

In this study, a dimensionally nonlinear evolution equation, which is the integrable shallow water wave-like equation, is investigated utilizing the Hirota bilinear approach. Lump solutions are achieved by its bilinear ...

This work establishes the lump periodic and exact traveling wave solutions for the (3 + 1)-dimensional generalized Kadomtsev–Petviashvili equation. We use the Hirota bilinear method, as well as the robust integration ...

The current study looks at two different nonlinear Schrödinger equations. These equations have several applications in science and engineering, such as nonlinear fiber optics, electromagnetic field waves, and signal ...

This paper presents the modulation instability (MI) analysis and the different types of optical soliton solutions of the Triki-Biswas model equation. The aforesaid model equation is the generalization of the derivative ...