The paper considers a simple and well-known method for reducing the differentiability order
of an ordinary differential equation, defining the first derivative as a function that will become …

A (2+ 1)-dimensional fourth order Burgers–KdV equation with variable coefficients (vcBKdV)
is studied here and interesting wave-type solutions with variable amplitudes and velocities …

This paper uses the attached flow method for solving nonlinear second-order differential
equations of the reaction–diffusion type. The key steps of the method consist of the …

This paper addresses an important method for finding traveling wave solutions of nonlinear
partial differential equations, solutions that correspond to a specific symmetry reduction of …

Affine Hamiltonians are defined in the paper and their study is based especially on the fact
that in the hyperregular case they are dual objects of Lagrangians defined on affine bundles …

The paper presents some mechanical models of gauge theories, ie. gauge fields transposed
in a space with a finite number of degree of freedom. The main focus is on how a global …

The paper concerns the auxiliary equation method and proposes an approach for finding the
most general nonlinear term that can generalize a nonlinear differential equation, so that it …

The complete integrability of a multicomponent differentialdifference complex mKdV system
with branched dispersion relation is proven. We use two approaches for this purpose. The …

The paper presents in all its nontrivial details the sp (3) BRST Hamiltonian formalism. It is
based on structuring the extended phase space on many levels. In this picture, the standard …

The paper reviews the mathematical models proposed for describing the proliferation of
gliomas, the most common brain tumors, with strong dynamic invasiveness and proliferative …