Stochastic partial differential equations have wide applications in various fields of science
and engineering. This paper addresses the optical stochastic solitons and other exact …

The fourth-order nonlinear Boussinesq water wave equation, which explains the
propagation of long waves in shallow water, is explored in this article. We used the Lie …

In this work, we study the exact traveling wave solutions of (2+ 1)-dimensional Chiral
nonlinear Schrödinger equation with the aid of generalized auxiliary equation method. The …

The central target of this work is to extract some novel exact solutions of the new extended
(3+ 1)-dimensional Boiti-Leon-Manna-Pempinelli equation (BLMPE) for the incompressible …

In present research work, the soliton solutions of the space-time fractional modified third
order Korteweg–de Vries (KdV) equation are explored by Sardar-subequation method …

This work aims to explore new bidirectional-wave solutions to the generalized doubly
dispersive equation through the use of two effective integration schemes: the modified …

In recent years, finding exact solutions to nonlinear differential equations has become a
fascinating study topic. In the present study, using the modified Kudryashov method and the …

Higher order and multidimensional generalizations of the nonlinear Schrödinger equation
are useful in a variety of applications. A generalized (3+ 1)-dimensional nonlinear Sasa …

Complex fuzzy sets (CFSs) have recently emerged as a potent tool for expanding the scope
of fuzzy sets to encompass wider ranges within the unit disk in the complex plane. This study …

The diverse patterns of waves on the oceans yielded by the Kadomtsev Petviashvili-
modified equal width (KP-mEW) equation are highlighted in this paper. Two recent …