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 …

In this article, the main objective is to analytical investigation of the third order Klein-Fock-
Gordon eation and the nonlinear Maccari's system. The Klein-Fock-Gordon equation have …

In this work, first it is shown that the Hirota–Ramani equation, which governs the nonlinear
propagation of coupled Langmuir and dust-acoustec wave in a multicomponent dusty …

This paper presents a new approach to studying nonlinear evolution equations with variable
coefficients and applies it to the Bogoyavlensky-Konopelchenko equation. The …

This paper focuses on obtaining exact solutions of nonlinear Akbota equation through the
application of the modified Khater method and Sardar sub-equation method. Renowned as …

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 …

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 Ito equation belongs to the Korteweg–de Vries (KdV) family and is commonly employed
to predict how ships roll in regular seas. Additionally, it characterizes the interaction between …

This paper conducts an in-depth study on the self-similar transformation, Darboux
transformation, and the excitation and propagation characteristics of high-order bright–dark …

This study aims to employ the extended direct algebraic method (EDAM) to generate and
evaluate soliton solutions to the nonlinear, space-time conformable Estevez Mansfield …