Exact solutions of differential equations continue to play an important role in the
understanding of many phenomena and processes throughout the natural sciences in that …

The Handbook of Nonlinear Partial Differential Equations is the latest in a series of
acclaimed handbooks by these authors and presents exact solutions of more than 1600 …

Following in the footsteps of the authors' bestselling Handbook of Integral Equations and
Handbook of Exact Solutions for Ordinary Differential Equations, this handbook presents …

Using a new method and additional (conditional and partial) equivalence transformations,
we performed group classification in a class of variable coefficient (1+ 1)-dimensional …

A class of variable coefficient (1+ 1)-dimensional nonlinear reaction–diffusion equations of
the general form [Formula: see text] is investigated. Different kinds of equivalence groups …

The paper deals with different classes of non-linear reaction–diffusion equations with
variable coefficients c (x) ut=[a (x) f (u) ux] x+ b (x) g (u), that admit exact solutions. The direct …

The paper presents a number of new functional separable solutions to nonlinear reaction–
diffusion equations of the form c (x) ut=[a (x) ux] x+ b (x) u x+ p (x) f (u), where f (u) is an …

The paper presents a number of new functional separable solutions to nonlinear convection–
diffusion equations of the form c (x) ut=[a (x) ux] x+[b (x)+ p (x) f (u)] ux, where f (u) is an …

English Within this work, based on the built analytical solution of heat transfer problem in
anisotropic bodies, the thermal conductivity tensor components depending on temperature …

The paper is concerned with different classes of nonlinear Klein–Gordon and telegraph type
equations with variable coefficients c (x) utt+ d (x) ut=[a (x) ux] x+ b (x) ux+ p (x) f (u), where f …