This paper presents a rigorous exploration of the extended Vakhnenko–Parkes-Equation
(eVPE), unveiling a rich tapestry of multi solitons, bifurcations, and high-order breathers …

In this research paper, the improved generalized Riccati equation mapping (IGREM) method
is employed to get analytical soliton solutions of (3+ 1)-dimensional modified Korteweg–de …

Lie symmetry analysis of differential equations is an effective technique to compute exact
solutions of a differential equation, to reduce number of independent variables or to reduce …

The main attention of this study is focused on the interaction dynamics of breather, and
hybrid solitons and breather for an extended generalization of Vakhnenko equation. The …

We report a novel type of breather by studying the Vakhnenko equation (VE) describing high-
frequency wave (HFW) propagation in electromagnetic physics. By extending the bilinear …

This article retrieves multiple lump, periodic cross kink, rogue wave, multiwave, breathers, M-
shaped and interactional solutions for generalized Vakhnenko Parkes (gVP) equation via …

In the present work, the q-deformed Sinh-Gordon equation considered by performing new
extended generalized Kudryashov method and improved tan (Φ 2)-expansion method …

In this work, we show that the integrable Vakhnenko–Parkes (VP) equation passes the
Painlevé test and admits multiple real and multiple complex soliton solutions. We also …

Abstract The Kraenkel–Manna–Merle system is investigated, which describes the
propagations of the ferromagnetic particles in ferrite materials. A new series of the solutions …

Abstract A (2+ 1)-dimensional Vakhnenko equation is investigated, which describes high-
frequent wave propagations in relaxing medium. The N-loop soliton solutions for the …