This paper deals with the existence of travelling wave fronts in reaction–diffusion systems
with spatio-temporal delays. Our approach is to use monotone iterations and a nonstandard …

This paper is concerned with the existence of travelling wave solutions in a class of delayed
reaction–diffusion systems without monotonicity, which concludes two-species diffusion …

Separation of Variables and Exact Solutions to Nonlinear PDEs is devoted to describing and
applying methods of generalized and functional separation of variables used to find exact …

We propose a new method for constructing exact solutions to nonlinear delay reaction–
diffusion equations of the form ut= ku xx+ F (u, w), where u= u (x, t), w= u (x, t-τ), and τ is the …

The paper deals with one-dimensional nonlinear delay reaction–diffusion equations with
varying transfer coefficients of the form ut=[G (u) ux] x+ F (u, u ̄), where u= u (x, t) and u ̄ …

We present a number of new generalized separable, functional separable, periodic and
antiperiodic exact solutions to non-linear delay reaction–diffusion equations of the form ut …

The existence and asymptotics of forced traveling wave front in a Lotka–Volterra cooperative
system under climate change are concerned in this paper. By constructing appropriate …

We present a number of exact multiplicative and additive separable solutions to nonlinear
delay reaction–diffusion equations of the form ut= ku xx+ F (u, w), where u= u (x, t), w= u (x, t …

We consider heat and diffusion equations with finite relaxation time which ensure a finite
speed of propagation of disturbances. We use the Cattaneo–Vernotte model for the heat flux …

The current paper is devoted to the study of traveling waves in diffusive random media,
including time and/or space recurrent, almost periodic, quasiperiodic, periodic ones as …