Add to ORKGAbstract. We set out a method for giving explicit algebraic coordinates on varieties of elliptic solitons, which consists of: nding the spectral curve by elimination; and solving the Jacobi inversion problem by the use of Kleinian functions and their identities. As an example we solve a 5-particle Elliptic Calogero-Moser system whose spectral curve turns out to be completely reducible over 3 equianharmonic elliptic curves
We study a certain conjugation problem for a pair of elliptic pseudo-differential equations with hom...
We built first order elliptic systems with any possible number of unknown functions and the maximum ...
A method of constructing algebro-geometric solutions of rank two Schlesinger systems is presented. F...
Abstract. The main aim of this paper is to study soliton surfaces immersed in Lie algebras associate...
Abstract. The main aim of this paper is to discuss recent results on the adaptation of the Fokas-Gel...
International audienceIt is shown that elliptic solutions to the AKNS hierarchy equations can be obt...
Abstract. Two “elliptic analogues ” of the nonlinear Schrödinger hiererchy are constructed, and the...
In this work, we have constructed various types of soliton solu-tions of the generalized regularized...
This report investigates how one can construct soliton solutions to the following solitonequations: ...
We show how the famous soliton solution of the classical sine-Gordon field theory in (1 + 1)-di-mens...
Physically meaningful periodic solutions to certain integrable partial differential equations are gi...
We show how Jacobian elliptic functions (JEFs) can be used to solve ordinary differential equations ...
A computer-algebra aided method is carried out, for determining geometric objects associated to diff...
Motivated by the necessity to find exact solutions with the elliptic Weierstrass function of the Ein...
We construct parametric Liouville surfaces corresponding to parametric soliton solutions of the Liou...
We study a certain conjugation problem for a pair of elliptic pseudo-differential equations with hom...
We built first order elliptic systems with any possible number of unknown functions and the maximum ...
A method of constructing algebro-geometric solutions of rank two Schlesinger systems is presented. F...
Abstract. The main aim of this paper is to study soliton surfaces immersed in Lie algebras associate...
Abstract. The main aim of this paper is to discuss recent results on the adaptation of the Fokas-Gel...
International audienceIt is shown that elliptic solutions to the AKNS hierarchy equations can be obt...
Abstract. Two “elliptic analogues ” of the nonlinear Schrödinger hiererchy are constructed, and the...
In this work, we have constructed various types of soliton solu-tions of the generalized regularized...
This report investigates how one can construct soliton solutions to the following solitonequations: ...
We show how the famous soliton solution of the classical sine-Gordon field theory in (1 + 1)-di-mens...
Physically meaningful periodic solutions to certain integrable partial differential equations are gi...
We show how Jacobian elliptic functions (JEFs) can be used to solve ordinary differential equations ...
A computer-algebra aided method is carried out, for determining geometric objects associated to diff...
Motivated by the necessity to find exact solutions with the elliptic Weierstrass function of the Ein...
We construct parametric Liouville surfaces corresponding to parametric soliton solutions of the Liou...
We study a certain conjugation problem for a pair of elliptic pseudo-differential equations with hom...
We built first order elliptic systems with any possible number of unknown functions and the maximum ...
A method of constructing algebro-geometric solutions of rank two Schlesinger systems is presented. F...