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 …

Книга содержит точные решения около 1200 нелинейных уравнений математической
физики и механики. Рассматриваются уравнения параболического, гиперболического …

In this paper, the renowned Riemann-Hilbert method is employed to investigate the initial
value problem of Tzitz\'eica equation on the line. Initially, our analysis focuses on elucidating …

In this paper, we consider the class of wave-type equations utt= f (x, t, u) uxx+ g (x, t, u, ux, ut)
and two special cases of it. We derive the equivalence transformations for these equations …

This volume provides an in-depth treatment of several equations and systems of
mathematical physics, describing the propagation and interaction of nonlinear waves as …

NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS Page 1 HANDBOOK OF NONLINEAR
PARTIAL DIFFERENTIAL EQUATIONS Andrei D. Polyanin Valentin F. Zaitsev CHAPMAN & …

Handbook of Nonlinear Partial Differential Equations Page 1 HANDBOOK OF NONLINEAR
PARTIAL DIFFERENTIAL EQUATIONS © 2004 by Chapman & Hall/CRC Page 2 CHAPMAN & …

In this paper we consider the general class of hyperbolic equations uxt= F (x, t, u, ux, ut). We
use equivalence transformations to derive differential invariants for this class and for two …

We present a representation formula for discrete indefinite affine spheres via loop group
factorizations. This formula is derived from the Birkhoff decomposition of loop groups …

The authors hope that the handbook will prove helpful for a wide audience of researchers,
university and college teachers, engineers, and students in various fields of applied …