In this paper, we investigate a (3+ 1)-dimensional Boussinesq-type equation, which can
elucidate the gravity waves over a water surface:(1) Via the long-wave limit method, the M th …

In this paper, we suggest the modified Extended Direct Algebraic Method (mEDAM) to
examine the existence and dynamics of solitary wave solutions in the context of the …

In this study, the authors solved the (2+ 1)-dimensional fractional Date-Jimbo-Kashiwara-
Miwa equation for nonlinear dispersive waves in an inhomogeneous medium, which is an …

This study examines the perturbed Fokas–Lenells equation using two methods: the
Bernoulli sub-equation function method and the 1/G′-expansion method. A traveling wave …

The modified extended tanh technique is used to investigate the conformable time fractional
Drinfel'd-Sokolov-Wilson (DSW) equation and integrate some precise and explicit solutions …

The current paper implements three elegant approaches to recover a complete spectrum of
optical solitons to the Radhakrishnan–Kundu–Lakshmanan equation with dual–power law …

In this research article, we study a new (3+ 1)-dimensional Hirota bilinear equation which
can describe the dynamics of ion-acoustic wave and Alvin wave of small but finite amplitude …

This study introduces the generalized Khater Method (gKM) as a tool for investigating the
existence and dynamics of soliton solutions within the realm of the Fractional Coupled Higgs …

The purpose of this research is to investigate the nonlinear partial differential equation
known as Benjamin–Bona–Mahoney–Peregrine equation. Two versatile techniques, namely …

This paper employs a novel $\varphi^{6} $-model expansion approach to get dark, bright,
periodic, dark-bright, and singular soliton solutions to the complex Ginzburg-Landau …