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 …

A look into fractional calculus and their applications from the signal processing point of view
is done in this paper. A coherent approach to the fractional derivative is presented, leading …

Purpose A three-dimensional (3D) unsteady potential flow might admit a variational
principle. The purpose of this paper is to adopt a semi-inverse method to search for the …

Purpose It is extremely difficult to establish a variational principle for plasma. Kalaawy
obtained a variational principle by using the semi-inverse method in 2016, and Li and He …

Thin film arises in various applications from electrochemistry to nano devices, many
mathematical tools were adopted to study the problem, eg Lie symmetries and conservation …

A variational formulation is extremely difficult to be established for a strongly nonlinear
problem, and it is almost impossible for a singular differential equation without linear terms …

Application of homotopy perturbation method to nonlinear wave equations - ScienceDirect Skip
to main contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View PDF …

In this paper, the variational iteration method is implemented to give approximate solutions
for nonlinear differential equations of fractional order. In this method the problems are …

The unsmooth boundary will greatly affect motion morphology of a shallow water wave, and
a fractal space is introduced to establish a generalized KdV-Burgers equation with fractal …

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