Fractional order models involving nonlinearity are remarkable for having substantial
application in real-world. The present determination is due to obtain applicable wave …

In this work, the local fractional Camassa-Holm-Kadomtsev–Petviashvili equation
(LFCHKPE) is defined on Cantor sets by using the local fractional derivative for the first time …

Fractional order differential equations are utilized for modeling many complicated physical
and natural phenomena in nonlinear sciences and related fields. In this manuscript, the …

In this work, we perform a comprehensive analytical study to find the novel exact traveling
wave solutions of the\(2+ 1\)-dimensional Kadomtsev-Petviashvili-Benjamin-Bona-Mahony …

The complex Hirota-dynamical model (CHDM) has applications in the study of plasma
physics, the investigation of fusion energy, astrophysical research, and space studies. The …

Nonlinear models of fractional order have elaborately been taken place in the research field
for their importance bearing the significant roles to depict the interior mechanisms of …

Abstract This study examines the 1 2 ()+-dimensional Zoomeron equation, which has
recently become popular in applied mathematics and physics. Bright soliton (non …

The key traits of optical fiber and plasma physics are interpreted by the typical space-time
fractional nonlinear perturbed Chen-Lee-Liu equation. The equation is regarded in the …

In this study, we investigate the (2+ 1)-dimensional Korteweg-De Vries (KdV) equation with
the extension of time-dependent coefficients. A symbolic computational method, the …

In this paper, we investigate the Riemann wave model (RWM) on Cantor sets by using the
local fractional derivative (LFD). A novel computational approach is provided to seek the …