This tutorial review of fractal-Cantorian spacetime and fractional calculus begins with
Leibniz's notation for derivative without limits which can be generalized to discontinuous …

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 …

This article possess lump, lump with one kink, lump with two kink, rogue wave and lump
interactions with periodic and kink solitons for the generalized unstable space time fractional …

Any physical laws are scale-dependent, the same phenomenon might lead to debating
theories if observed using different scales. The two-scale thermodynamics observes the …

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 …

Classic Newtonian mechanics assumes that space and time are continuous everywhere.
The basic physical quantities (eg speed, acceleration and force) can be described by an …

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 identification of the Lagrange multiplier plays an import rule in the variational iteration
method, and the variational theory is widely used for this purpose. This paper suggests an …

According to the report presented by the World Health Organization, a new member of
viruses, namely, coronavirus, shortly 2019-nCoV, which arised in Wuhan, China, on January …

In this paper, a new perturbation method is proposed. In contrast to the traditional
perturbation methods, this technique does not require a small parameter in an equation. In …