A Bäcklund transformation for the Burgers hierarchy.
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Displaying 1 – 20 of 46
A critical phenomenon in solitonic Ising chains.
Loutsenko, Igor M., Spiridonov, Vyacheslav P. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
A differential geometric setting for dynamic equivalence and dynamic linearization
Jean-Baptiste Pomet (1995)
Banach Center Publications
This paper presents an (infinite-dimensional) geometric framework for control systems, based on infinite jet bundles, where a system is represented by a single vector field and dynamic equivalence (to be precise: equivalence by endogenous dynamic feedback) is conjugation by diffeomorphisms. These diffeomorphisms are very much related to Lie-Bäcklund transformations. It is proved in this framework that dynamic equivalence of single-input systems is the same as static equivalence.
A discrete variational approach for investigation of stationary localized states in a discrete nonlinear Schrödinger equation, named IN-DNLS.
Kundu, K. (2005)
International Journal of Mathematics and Mathematical Sciences
A dynamical system connected with inhomogeneous 6-vertex model
И. Г. Корепанов (1994)
Zapiski naucnych seminarov POMI
A generalised Hopf algebra for solitons.
Al-Solamy, Falleh R., Beggs, Edwin J. (2002)
International Journal of Mathematics and Mathematical Sciences
A generalization for Peakon's solitary wave and Camassa-Holm equation.
Boldea, Costin-Radu (1997)
General Mathematics
A gentle (without chopping) approach to the full Kostant-Toda lattice.
Damianou, Pantelis A., Magri, Franco (2005)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
A global factorization theorem for the ZS-AKNS system.
Wu, Derchyi (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
A Hopf bifurcation of interfaces in a Dirichlet problem.
Ham, YoonMee, Lee, Sang-Gu (1999)
Southwest Journal of Pure and Applied Mathematics [electronic only]
A KAM theorem for infinite-dimensional discrete systems.
Perfetti, Paolo (2003)
Mathematical Physics Electronic Journal [electronic only]
A look on some results about Camassa–Holm type equations
Igor Leite Freire (2021)
Communications in Mathematics
We present an overview of some contributions of the author regarding Camassa--Holm type equations. We show that an equation unifying both Camassa--Holm and Novikov equations can be derived using the invariance under certain suitable scaling, conservation of the Sobolev norm and existence of peakon solutions. Qualitative analysis of the two-peakon dynamics is given.
A new hierarchy of integrable system of dimensions: from Newton's law to generalized Hamiltonian system. II.
Huang, Xuncheng, Tu, Guizhang (2006)
International Journal of Mathematics and Mathematical Sciences
A note on the rotationally symmetric SO(4) Euler rigid body.
Falqui, Gregorio (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
A numerical scheme using multi-shockpeakons to compute solutions of the Degasperis-Procesi equation.
Hoel, Hakon A. (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
A recursion operator for the universal hierarchy equation via Cartan’s method of equivalence
Oleg Morozov (2014)
Open Mathematics
We apply Cartan’s method of equivalence to find a Bäcklund autotransformation for the tangent covering of the universal hierarchy equation. The transformation provides a recursion operator for symmetries of this equation.
A special case of the Garnier system, -polarized abelian surfaces and their moduli
Pol Vanhaecke (1994)
Compositio Mathematica
A survey of Nambu-Poisson geometry.
Nakanishi, N. (1999)
Lobachevskii Journal of Mathematics
A survey on Nambu-Poisson brackets.
Vaisman, I. (1999)
Acta Mathematica Universitatis Comenianae. New Series
A vertex operator approach for form factors of Belavin's -symmetric model and its application.
Quano, Yas-Hiro (2011)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Currently displaying 1 – 20 of 46
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