The main aim of the presented paper is to obtain the exact solutions of the generalized Sasa–
Satsuma equation using two different methods, the modified auxiliary equation method and …

Abstract This work examines the (2+ 1)-dimensional Boiti–Leon–Pempinelli model, which
finds its use in hydrodynamics. This model explains how water waves vary over time in …

The main purpose of this article is to study the generalized Kudryashov's equation with
truncated M-fractional derivative, which is commonly used to describe the propagation of …

Finding new, more widely applicable accurate traveling wave solutions to nonlinear partial
differential equations is the aim of this work. The Konno–Oono equation and the Kadomtsev …

In this article, the two-mode foam drainage equation in terms of time and space conformable
sense has been investigated. Two effective methods, the generalized exponential rational …

The symmetry features of fractional differential equations allow effective explanation of
physical and biological phenomena in nature. The generalized form of the fractional …

In this work, I used the Sine–Cosine approach to examine a few conformable fractional
partial nonlinear differential equations and discovered a wide range of generalized solitary …

The new precise traveling wave solutions to the Geophysical KdV equation obtained by the
(G′ G 2)-expansion method and Sine-Cosine method reflect the results for hyperbolic …

The Rosenau equation has been widely used to describe important physical phenomena
and dynamic processes in physics, many numerical techniques have been presented in …

This paper is concerned about the novel exact solitons to the truncated M-fractional (1+ 1)-
dimensional non-linear generalized Bretherton model with arbitrary constants. This model is …