Constructing the exact solutions of high-dimensional nonlinear evolution equations and
exploring their dynamics have always been important and open problems in real-world …

In this paper, we applied some computational tools, namely the modified extended tanh
method via a Riccati equation, the general Exp _ a a-function method and the bifurcation …

In the present paper, two integrable and one non-integrable semi-discrete analogues of a
generalized sine-Gordon (sG) equation are constructed. The keys of the construction are the …

In this paper, we propose fully discrete analogues of a generalized sine-Gordon (gsG)
equation u tx= 1+ ν∂ x 2 sin u. The key points of the construction are based on the bilinear …

The Bäcklund transformation (BT) for the'good'Boussinesq equation and its superposition
principles are presented and applied. Unlike other standard integrable equations, the …

In this paper, the new solitary wave solutions of the (3+ 1)-dimensional Boiti-Leon-Manna-
Pempinelli equation are obtained by Lie group symmetry method and the extended …

Comment on ‘two new integrable fourth-order nonlinear equations: multiple soliton solutions and
multiple complex soliton solut Page 1 Nonlinear Dyn (2022) 107:3175–3176 …

The main results of this paper are two numerical algorithms of a physically-interesting mKdV–
sine-Gordon model. One is a numerical scheme to calculate the 3-periodic wave solutions …

An integrable time-discretization of the Ito equation is presented. By use of Hirota's bilinear
method, the Bäcklund transformation, Lax pair and soliton solutions to the semi-discrete …

In this paper, we present an integrable semi-discretization of the Boussinesq equation.
Different from other discrete analogues, we discretize the 'time'variable and get an …