Abstract The Korteweg-de Vries equation (KdV) and the (2+ 1)-dimensional Nizhnik-Novikov-
Veselov system (NNV) are presented. Multi-soliton rational solutions of these equations are …

Abstract The (2+ 1)-dimensional Konopelchenko-Dubrovsky (KD) equation and the Landau-
Ginzburg-Higgs (LGH) equation describe the nonlinear waves with weak scattering and long …

The present study is devoted to obtaining some exact generalized solutions and new solitary
wave solutions for a (2+ 1)-dimensional nonlinear r th dispersionless Dym (rdDym) equation …

In this paper, with the aid of the Mathematica package, several classes of exact analytical
solutions for the time-fractional (2+ 1)(2+ 1)-dimensional Ito equation are obtained. To …

The conformable derivative and adequate fractional complex transform are implemented to
discuss the fractional higher-dimensional Ito equation analytically. The Jacobi elliptic …

This paper studies the (3+ 1)-dimensional extended Kadomtsev-Petviashvili equation with
power law nonlinearity that apperas in the study of multi-component plasmas. The solutions …

Over the past few years, many fields of science and engineering can be expressed by
fractional differential equations [1]. Due to their widely applications in many research areas …

In this article, we establish solitary wave solutions to the Estevez-Mansfield-Clarkson (EMC)
equation and the coupled sine-Gordon equations which are model equations to analyze the …

This paper studies the Kadomtsev-Petviashvili equation of B-type that appears in Fermion
fields. The travelling wave hypothesis will be first employed to obtain its solitary wave …

We overview some recent theoretical studies of dynamical models beyond the framework of
slowly varying envelope approximation, which adequately describe ultrashort-soliton …