In this paper we discuss the differentiation of Pfaffians which is useful in Pfaffian technique. We apply the Pfaffian technique to two integrable systems; the Konopelchenko-Rogers (KR) equations and the modified Novikov-Veselov-Nizik (mNVN) equations and show that these equations in the bilinear form reduce to a Pfaffian identity. We also derive a new Lax pair for the mNVN equations which is gauge equivalent to a pair of operators. © 2009 Elsevier Inc. All rights reserved
This article is a part of the special issue titled “Symmetries and Integrability of Difference Equat...
This article is a part of the special issue titled “Symmetries and Integrability of Difference Equat...
The aim of this work is to use the Pfaffian technique, along with the Hirota bilinear method to cons...
AbstractIn this paper we discuss the differentiation of Pfaffians which is useful in Pfaffian techni...
AbstractIn this paper we discuss the differentiation of Pfaffians which is useful in Pfaffian techni...
International audienceIn this paper, we present an algorithm for computing a fundamental matrix of f...
International audienceIn this paper, we present an algorithm for computing a fundamental matrix of f...
International audienceIn this paper, we present an algorithm for computing a fundamental matrix of f...
An explicit solution is given for the system of linear equations EφEt=φ′, where φ,φ′ are alternating...
Reduction methods for completely integrable Pfaffian Systems with symmetry are applied to variationa...
In this paper, we present an algorithm for computing a fundamental matrix of formal solutions of com...
International audienceIn this paper, we present an algorithm for computing a fundamental matrix of f...
International audienceIn this paper, we present an algorithm for computing a fundamental matrix of f...
International audienceIn this paper, we present an algorithm for computing a fundamental matrix of f...
This thesis is concerned with solutions to nonlinear evolution equations. In particular we examine ...
This article is a part of the special issue titled “Symmetries and Integrability of Difference Equat...
This article is a part of the special issue titled “Symmetries and Integrability of Difference Equat...
The aim of this work is to use the Pfaffian technique, along with the Hirota bilinear method to cons...
AbstractIn this paper we discuss the differentiation of Pfaffians which is useful in Pfaffian techni...
AbstractIn this paper we discuss the differentiation of Pfaffians which is useful in Pfaffian techni...
International audienceIn this paper, we present an algorithm for computing a fundamental matrix of f...
International audienceIn this paper, we present an algorithm for computing a fundamental matrix of f...
International audienceIn this paper, we present an algorithm for computing a fundamental matrix of f...
An explicit solution is given for the system of linear equations EφEt=φ′, where φ,φ′ are alternating...
Reduction methods for completely integrable Pfaffian Systems with symmetry are applied to variationa...
In this paper, we present an algorithm for computing a fundamental matrix of formal solutions of com...
International audienceIn this paper, we present an algorithm for computing a fundamental matrix of f...
International audienceIn this paper, we present an algorithm for computing a fundamental matrix of f...
International audienceIn this paper, we present an algorithm for computing a fundamental matrix of f...
This thesis is concerned with solutions to nonlinear evolution equations. In particular we examine ...
This article is a part of the special issue titled “Symmetries and Integrability of Difference Equat...
This article is a part of the special issue titled “Symmetries and Integrability of Difference Equat...
The aim of this work is to use the Pfaffian technique, along with the Hirota bilinear method to cons...
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