This paper is devoted to classifying second order evolution equations with two components. Combining the symbolic method and number theory, we give the complete list of such homogeneous polynomial symmetry-integrable systems with non-zero diagonal linear terms. The technique is applicable for more general systems. © 2004 Elsevier Inc. All rights reserved
We present a 2-component equation with exactly two nontrivial generalized symmetries, a counterexamp...
A qualitative theory of two-dimensional quadratic-polynomial integrable dynamical systems (DSs) is c...
We show the existence of infinitely many symmetries for λ-homogeneous equations when λ = 0. If the e...
AbstractThis paper is devoted to classifying second order evolution equations with two components. C...
This paper is devoted to classifying second order evolution equations with two components. Combining...
AbstractThis paper is devoted to classifying second order evolution equations with two components. C...
In this paper we consider two component evolution equations with two independent variables – time an...
This thesis is devoted to the classification of integrable two-component polynomial homogeneous syst...
We study a class of evolutionary partial differential systems with two components related to second ...
We determine the existence of (infinitely many) symmetries for equations of the form u(t) = u(k) ...
This paper is devoted to the complete classification of integrable one-component evolution equations...
Abstract. This paper describes some recent developments which have made it possible to effectively c...
AbstractWe determine the existence of (infinitely many) symmetries for equations of the formut=uk+f(...
We show the existence of infinitely many symmetries for ?-homogeneous equations when ?=0. If the equ...
In this talk we would like to give a brief account of recent development of the symmetry approach [1...
We present a 2-component equation with exactly two nontrivial generalized symmetries, a counterexamp...
A qualitative theory of two-dimensional quadratic-polynomial integrable dynamical systems (DSs) is c...
We show the existence of infinitely many symmetries for λ-homogeneous equations when λ = 0. If the e...
AbstractThis paper is devoted to classifying second order evolution equations with two components. C...
This paper is devoted to classifying second order evolution equations with two components. Combining...
AbstractThis paper is devoted to classifying second order evolution equations with two components. C...
In this paper we consider two component evolution equations with two independent variables – time an...
This thesis is devoted to the classification of integrable two-component polynomial homogeneous syst...
We study a class of evolutionary partial differential systems with two components related to second ...
We determine the existence of (infinitely many) symmetries for equations of the form u(t) = u(k) ...
This paper is devoted to the complete classification of integrable one-component evolution equations...
Abstract. This paper describes some recent developments which have made it possible to effectively c...
AbstractWe determine the existence of (infinitely many) symmetries for equations of the formut=uk+f(...
We show the existence of infinitely many symmetries for ?-homogeneous equations when ?=0. If the equ...
In this talk we would like to give a brief account of recent development of the symmetry approach [1...
We present a 2-component equation with exactly two nontrivial generalized symmetries, a counterexamp...
A qualitative theory of two-dimensional quadratic-polynomial integrable dynamical systems (DSs) is c...
We show the existence of infinitely many symmetries for λ-homogeneous equations when λ = 0. If the e...
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