Abstract. This paper describes some recent developments which have made it possible to effectively classify homogeneous systems having infinitely many generalized symmetries, both in the commutative and the noncommutative case. It discusses the program that has to be carried out next to come to an automatic classification mechanism. 1
We show the existence of infinitely many symmetries for λ-homogeneous equations when λ = 0. If the e...
In this talk we would like to give a brief account of recent development of the symmetry approach [1...
This paper is devoted to classifying second order evolution equations with two components. Combining...
We determine the existence of (infinitely many) symmetries for equations of the form u(t) = u(k) ...
AbstractWe determine the existence of (infinitely many) symmetries for equations of the formut=uk+f(...
We prove the conjecture, formulated in [BSW98], that almost all systems in the family[formula]have a...
The existence of formal symmetry of an evolution equation is one of the criteria of the complete int...
The existence of formal symmetry of an evolution equation is one of the criteria of the complete int...
We show the existence of infinitely many symmetries for ?-homogeneous equations when ?=0. If the equ...
We study a class of evolutionary partial differential systems with two components related to second ...
This paper is devoted to the complete classification of integrable one-component evolution equations...
We prove the conjecture, formulated in [BSW98], that almost all systems in the family Bm[a]: ut = au...
AbstractWe show the existence of infinitely many symmetries for λ-homogeneous equations when λ=0. If...
summary:The author obtains sufficient conditions of the finite independence and the commutativity fo...
summary:The author obtains sufficient conditions of the finite independence and the commutativity fo...
We show the existence of infinitely many symmetries for λ-homogeneous equations when λ = 0. If the e...
In this talk we would like to give a brief account of recent development of the symmetry approach [1...
This paper is devoted to classifying second order evolution equations with two components. Combining...
We determine the existence of (infinitely many) symmetries for equations of the form u(t) = u(k) ...
AbstractWe determine the existence of (infinitely many) symmetries for equations of the formut=uk+f(...
We prove the conjecture, formulated in [BSW98], that almost all systems in the family[formula]have a...
The existence of formal symmetry of an evolution equation is one of the criteria of the complete int...
The existence of formal symmetry of an evolution equation is one of the criteria of the complete int...
We show the existence of infinitely many symmetries for ?-homogeneous equations when ?=0. If the equ...
We study a class of evolutionary partial differential systems with two components related to second ...
This paper is devoted to the complete classification of integrable one-component evolution equations...
We prove the conjecture, formulated in [BSW98], that almost all systems in the family Bm[a]: ut = au...
AbstractWe show the existence of infinitely many symmetries for λ-homogeneous equations when λ=0. If...
summary:The author obtains sufficient conditions of the finite independence and the commutativity fo...
summary:The author obtains sufficient conditions of the finite independence and the commutativity fo...
We show the existence of infinitely many symmetries for λ-homogeneous equations when λ = 0. If the e...
In this talk we would like to give a brief account of recent development of the symmetry approach [1...
This paper is devoted to classifying second order evolution equations with two components. Combining...