The authors present an exact solution of the two-dimensional Toda lattice equation. The solution obtained here is a cnoidal wave, which is periodic function with regard to the angular variable and lattice site number n
AbstractA new procedure to construct and solve soliton equations with self-consistent sources (SESCS...
AbstractA Taylor matrix method is proposed for the numerical solution of the two-space-dimensional l...
The aim of the paper is analysis of dynamical regular response of the nonlinear oscillator with two...
AbstractPfaffianization procedure due to Hirota and Ohta is applied to the two-dimensional Toda latt...
It is well known that each solution of the Toda lattice can be represented by a tridiagonal matrix J...
Given a solution of a high order Toda lattice we construct a one parameter family of new solutions....
Exact solutions to a nonlinear Schrödinger lattice with a saturable nonlinearity are reported. For f...
AbstractIn this paper, we study a 2D dissipative Klein–Gordon equation with periodic boundary condit...
AbstractIn this paper, we study a 2D generalized Ginzburg–Landau equation with a periodic boundary c...
In this paper, we present the generalized tanh method to obtain exact solutions of nonlinear partial...
AbstractA matrix of fundamental solutions is constructed for the operator governing the high-frequen...
The paper proposes the formulation of problems modeled with the stationary Kolmogorov-Feller equatio...
The article discusses the problem of approximating solutions of differential equations describing th...
AbstractThis paper applies the homotopy analysis method proposed by Liao to obtain approximate analy...
We study the existence of positive solutions for discrete boundary value problems to one-dimensional...
AbstractA new procedure to construct and solve soliton equations with self-consistent sources (SESCS...
AbstractA Taylor matrix method is proposed for the numerical solution of the two-space-dimensional l...
The aim of the paper is analysis of dynamical regular response of the nonlinear oscillator with two...
AbstractPfaffianization procedure due to Hirota and Ohta is applied to the two-dimensional Toda latt...
It is well known that each solution of the Toda lattice can be represented by a tridiagonal matrix J...
Given a solution of a high order Toda lattice we construct a one parameter family of new solutions....
Exact solutions to a nonlinear Schrödinger lattice with a saturable nonlinearity are reported. For f...
AbstractIn this paper, we study a 2D dissipative Klein–Gordon equation with periodic boundary condit...
AbstractIn this paper, we study a 2D generalized Ginzburg–Landau equation with a periodic boundary c...
In this paper, we present the generalized tanh method to obtain exact solutions of nonlinear partial...
AbstractA matrix of fundamental solutions is constructed for the operator governing the high-frequen...
The paper proposes the formulation of problems modeled with the stationary Kolmogorov-Feller equatio...
The article discusses the problem of approximating solutions of differential equations describing th...
AbstractThis paper applies the homotopy analysis method proposed by Liao to obtain approximate analy...
We study the existence of positive solutions for discrete boundary value problems to one-dimensional...
AbstractA new procedure to construct and solve soliton equations with self-consistent sources (SESCS...
AbstractA Taylor matrix method is proposed for the numerical solution of the two-space-dimensional l...
The aim of the paper is analysis of dynamical regular response of the nonlinear oscillator with two...
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