Abstract In this paper, a (3+ 1)-dimensional Korteweg-de Vries-Calogero-Bogoyavlenskii-
Schif equation in a fluid is investigated. By the virtue of the truncated Painlevé expansion, a …

Compactons are studied in the framework of the Korteweg–de Vries (KdV) equation with the
sublinear nonlinearity. Compactons represent localized bell-shaped waves of either polarity …

A new method is developed for finding exact solitary wave solutions of a generalized
Korteweg–de Vries equation with pp‐power nonlinearity coupled to a linear Schrödinger …

Infinitesimal symmetries of a partial differential equation (PDE) can be defined algebraically
as the solutions of the linearisation (Frechet derivative) equation holding on the space of …

The general solutions for nonlinear waves in a bubble-liquid mixture are obtained from the
Kudryashov–Sinelshchikov (KS) equation under different parametric regimes. The Chiellini …

A two-dimensional generalization of the Korteweg-de Vries (KdV) equation with p-power
was studied. This equation appeared in many physical applications. For p> 0, we derived all …

A complete classification of compacton solutions is carried out for a generalization of the
Kadomtsev–Petviashvili (KP) equation involving nonlinear dispersion in two and higher …

The modified Korteweg-de Vries (mKdV) equation is an integrable nonlinear evolution
equation which has applications in modeling various physical phenomena. It also describes …

Lax pairs play a vital role in the integrability theory of evolution equations because they are
used for the inverse scattering transformation to generate multi-soliton solutions. As an …