The prolongation structure of the KdV equation in the bilinear form of Hirota is determined, the resulting Lie algebra is realised and the Backlund transformation obtained from the prolongation structure is derived. The results are compared with those found by Wahlquist and Estabrook (1975) and by Hirota (1980)
International audienceWe present a bilinear Hirota representation of the N = 2 supersymmetric extens...
We consider the quasi-linear evolution equation ut+Ux sin u +μu3x+βuxxx = 0, which is know...
An algebraic method is devised to look for non-local symmetries of the pseudopotential type of nonli...
The method of obtaining Backlund transformations proposed by Chern and Tenenblat (1986) fits complet...
The Painlevé property and Bäcklund transformation for the KdV equation with a self-consistent source...
The well known prolongation technique of Wahlquist and Estabrook (1975) for nonlinear evolution equa...
Abstract. The well known prolongation technique of Wahlquist and Estabrook for nonlinear evolution e...
The method of obtaining Backlund transformations proposed by Chern and Tenenblat (1986) fits complet...
AbstractThe structure of the nonlinear Schrödinger prolongation algebra, introduced by Estabrook and...
The structure of the nonlinear Schrödinger prolongation algebra, introduced by Estabrook and Wahlqui...
Prolongation algebras which are determined by applying a version of the Wahlquist-Estabrook method t...
We show that the Drinfeid-Sokolov system of equations has a nontrivial prolongation structure. The c...
The singularity-structure aspects of the Davey-Stewartson equation is investigated and it is shown t...
International audienceWe present a bilinear Hirota representation of the N = 2 supersymmetric extens...
Abstract. We apply the well known Wahlquist-Estabrook prolongation technique to the Kuramoto-Sivashi...
International audienceWe present a bilinear Hirota representation of the N = 2 supersymmetric extens...
We consider the quasi-linear evolution equation ut+Ux sin u +μu3x+βuxxx = 0, which is know...
An algebraic method is devised to look for non-local symmetries of the pseudopotential type of nonli...
The method of obtaining Backlund transformations proposed by Chern and Tenenblat (1986) fits complet...
The Painlevé property and Bäcklund transformation for the KdV equation with a self-consistent source...
The well known prolongation technique of Wahlquist and Estabrook (1975) for nonlinear evolution equa...
Abstract. The well known prolongation technique of Wahlquist and Estabrook for nonlinear evolution e...
The method of obtaining Backlund transformations proposed by Chern and Tenenblat (1986) fits complet...
AbstractThe structure of the nonlinear Schrödinger prolongation algebra, introduced by Estabrook and...
The structure of the nonlinear Schrödinger prolongation algebra, introduced by Estabrook and Wahlqui...
Prolongation algebras which are determined by applying a version of the Wahlquist-Estabrook method t...
We show that the Drinfeid-Sokolov system of equations has a nontrivial prolongation structure. The c...
The singularity-structure aspects of the Davey-Stewartson equation is investigated and it is shown t...
International audienceWe present a bilinear Hirota representation of the N = 2 supersymmetric extens...
Abstract. We apply the well known Wahlquist-Estabrook prolongation technique to the Kuramoto-Sivashi...
International audienceWe present a bilinear Hirota representation of the N = 2 supersymmetric extens...
We consider the quasi-linear evolution equation ut+Ux sin u +μu3x+βuxxx = 0, which is know...
An algebraic method is devised to look for non-local symmetries of the pseudopotential type of nonli...
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