A list of twenty five integrable vectorial evolutionary equations of the third order is presented. Each equation from the list possesses higher symmerties and higher conservation laws.
By introducing a 3×3 matrix Lie algebra and employing the generalized Tu scheme, a AKNS isospectral–...
The material collected in this volume discusses the present as well as expected future directions of...
This paper is devoted to classifying second order evolution equations with two components. Combining...
A fully nonlinear family of evolution equations is classified. Nine new integrable equa-tions are fo...
Abstract. This paper describes some recent developments which have made it possible to effectively c...
Many evolution equations such as the soliton (solitary equation) of Korteweg-de Vries (KdV) equation...
Abstract. This paper deals with conservation laws for all integrable difference equations that belon...
A list of forty third-order exactly integrable two-field evolutionary systems is presented. Differen...
We prove that the computation of the conservation laws of (2n + 1)th-order KdV-like equations (i.e. ...
This paper was motivated by the observation that after quickly finding a number of hierarchies (mKdV...
Fifth order, quasi-linear, non-constant separant evolution equations are of the form u(t) = A(partia...
edited by Hazewinkel M., Capel H. W. and de Jager E. M., reprinted from Acta Applicandae Mathematica...
We study a class of evolutionary partial differential systems with two components related to second ...
We propose a new method to tackle the integrability problem for evolutionary differential–difference...
In this paper we construct a set of five conditions necessary for the existence of generalized symme...
By introducing a 3×3 matrix Lie algebra and employing the generalized Tu scheme, a AKNS isospectral–...
The material collected in this volume discusses the present as well as expected future directions of...
This paper is devoted to classifying second order evolution equations with two components. Combining...
A fully nonlinear family of evolution equations is classified. Nine new integrable equa-tions are fo...
Abstract. This paper describes some recent developments which have made it possible to effectively c...
Many evolution equations such as the soliton (solitary equation) of Korteweg-de Vries (KdV) equation...
Abstract. This paper deals with conservation laws for all integrable difference equations that belon...
A list of forty third-order exactly integrable two-field evolutionary systems is presented. Differen...
We prove that the computation of the conservation laws of (2n + 1)th-order KdV-like equations (i.e. ...
This paper was motivated by the observation that after quickly finding a number of hierarchies (mKdV...
Fifth order, quasi-linear, non-constant separant evolution equations are of the form u(t) = A(partia...
edited by Hazewinkel M., Capel H. W. and de Jager E. M., reprinted from Acta Applicandae Mathematica...
We study a class of evolutionary partial differential systems with two components related to second ...
We propose a new method to tackle the integrability problem for evolutionary differential–difference...
In this paper we construct a set of five conditions necessary for the existence of generalized symme...
By introducing a 3×3 matrix Lie algebra and employing the generalized Tu scheme, a AKNS isospectral–...
The material collected in this volume discusses the present as well as expected future directions of...
This paper is devoted to classifying second order evolution equations with two components. Combining...
DOI
Add to ORKG