Rapid solidification is a relevant physical phenomenon in material sciences, whose
theoretical analysis requires going beyond the limits of local equilibrium statistical physics …

We analyze the common errors of the recent papers in which the solitary wave solutions of
nonlinear differential equations are presented. Seven common errors are formulated and …

Deep convolutional neural networks (CNNs) have attracted considerable interest in low-
level computer vision. Researches are usually devoted to improving the performance via …

A method for finding solitary wave solutions to nonlinear differential equations is presented.
A generalization for the logistic function to obtain a solitary wave solution is introduced …

Hierarchy of the perturbed nonlinear Schrödinger equations is considered. Nonlinear
differential equations of this hierarchy contain higher orders and can be used for description …

Fractional order models involving nonlinearity are remarkable for having substantial
application in real-world. The present determination is due to obtain applicable wave …

In this paper, our focus is on the multidimensional mathematical physics models. We employ
the sub-equation method to obtain new exact solutions to the proposed strongly nonlinear …

Abstract Objective: New generalized Schrödinger equations with polynomial nonlinearities
are considered. The Cauchy problem for these equations cannot be solved by the inverse …

This paper studies the optical soliton solutions of a nonlinear Schrödinger equation (NLSE)
involving parabolic law of nonlinearity with the presence of nonlinear dispersion by using …

The generalized nonlinear eighth-order Schrödinger equation with third, fifth, seventh and
ninth power of nonlinearity is studied. This equation can be used for description of the pulse …