This paper features a survey of some recent developments in asymptotic techniques, which
are valid not only for weakly nonlinear equations, but also for strongly ones. Further, the …

In this research, the extended rational sinh-cosh method and the modified extended tanh-
function method for mathematically constructing traveling wave solutions to the (2+ 1) …

In this paper, a new method, called Exp-function method, is proposed to seek solitary
solutions, periodic solutions and compacton-like solutions of nonlinear differential …

A direct approach to exact solutions of nonlinear partial differential equations is proposed,
by using rational function transformations. The new method provides a more systematical …

In this paper, a diverse range of travelling wave structures of perturbed Fokas–Lenells
model (p-FLM) is obtained by using the extended (G'/G^ 2)(G′/G 2)-expansion technique …

Variational iteration method is used to construct solitary solutions and compacton-like
solutions for nonlinear dispersive equations. The chosen initial solution (trial function) can …

This paper aims to study an improved perturbed Schrödinger equation (IPSE) with a kind of
Kerr law non-linearity equation governing the propagation dynamics of soliton in optical …

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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 nonlocal symmetries for the (2+ 1)(2+ 1)-dimensional Konopelchenko–Dubrovsky
equation are obtained with the truncated Painlevé method and the Möbious (conformal) …