A bstract Utilizing some conservation laws of (1+ 1)-dimensional integrable local evolution
systems, it is conjectured that higher dimensional integrable equations may be regularly …

A variable separation approach is used to obtain exact solutions of high-dimensional
nonlinear physical models. Taking the Nizhnik–Novikov–Veselov (NNV) equation as a …

The nonlinear sine-Gordon equation (NSGE) represents the classical solitary wave model
having a nonlinear sine source term in the theory of crystal dislocations. This paper focusses …

This investigation proposes the novelty of the modified (G′ G 2)-expansion method to look
for new exact traveling wave solutions to two important nonlinear evolution equations such …

Abstract A (2+ 1)-dimensional fifth-order integrable model, the fifth member of the
Kadomtsev-Petviashvilli hierarchy (KP5 equation) is investigated. The Lax pairs and the …

Extending the Painlevé approach to a more general form, one can get infinitely many new
integrable models under the meanings that they possess conformal invariance and the …

By using a reconstruction procedure of conservation laws of different models, the
deformation algorithm proposed by Lou, Hao and Jia has been used to a new application …

A review of an experimental study of superradiance in semiconductor inorganic structures is
presented. It is demonstrated that unique properties of superradiant emission are …

We study the localized coherent structures of a generally nonintegrable (2+ 1)-dimensional
KdV equation via a variable separation approach. In a special integrable case, the entrance …

The mapping approach is a kind of classic, efficient and well-developed method to solve
nonlinear evolution equations, the remarkable characteristic of which is that we can have …