Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in
Mechanics and Physics is the first book to provide a systematic construction of exact …

A dynamical system is called isochronous if it features in its phase space an open, fully-
dimensional region where all its solutions are periodic in all its degrees of freedom with the …

Abstract The Singular Manifold Method (SMM) is applied to an equation in 2+ 1 dimensions
[13] that can be considered as a generalization of the sine-Gordon equation. SMM is useful …

A Lie system is a system of differential equations admitting a superposition rule, ie, a
function describing its general solution in terms of any generic set of particular solutions and …

In this paper, we deduce the (2+ 1)-dimensional Schwarz–Korteweg–de Vries equation from
two (1+ 1)-dimensional equations. Based on the resulting Lax pairs, we present its N-fold …

One of the more interesting solutions of the (2+ 1)-dimensional integrable Schwarz–
Korteweg–de Vries (SKdV) equation is the soliton solutions. We previously derived a …

By means of the two distinct methods, the Exp-function method and the extended (G′/G)-
expansion method, we successfully performed an analytic study on the (2+ 1)-dimensional …

We study the (2+ 1)-dimensional Schwarzian Korteweg–de Vries equation (SKdV). The
explored solutions describe new Lump soliton colliding with visible soliton, an interaction …

By using the discrete Lax matrices corresponding to Q 1 (0) Q1 (0) and Q 1 (δ) Q1\left
(δ\right) in the Adler–Bobenko–Suris list of quadrilateral lattice equations, we establish …

In this paper we find new families of solutions for the (2+ 1)-dimensional integrable
Schwarzian Korteweg–de Vries equation, that depend up to two arbitrary functions and a …