Zobrazeno 1 - 10
of 508
pro vyhledávání: '"lax pairs"'
Autor:
Dunajski, Maciej, author
Publikováno v:
Solitons, Instantons, and Twistors, 2024, ill.
Externí odkaz:
https://doi.org/10.1093/oso/9780198872535.003.0007
Autor:
I.T. Habibullin, A.U. Sakieva
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100854- (2024)
The article considers lattices of the two-dimensional Toda type, which can be interpreted as dressing chains for spatially two-dimensional generalizations of equations of the nonlinear Schrödinger type. The well-known example of this kind of general
Externí odkaz:
https://doaj.org/article/108dc6a473334c5aaaa5f8880d5b8524
Autor:
Sergei Igonin
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100821- (2024)
Matrix differential–difference Lax pairs play an essential role in the theory of integrable nonlinear differential–difference equations. We present sufficient conditions which allow one to simplify such a Lax pair by matrix gauge transformations.
Externí odkaz:
https://doaj.org/article/4e1e997513ae4d4687238ef191a947c2
Autor:
Aleksander Aleksiev Stefanov
Publikováno v:
Dynamics, Vol 4, Iss 1, Pp 81-96 (2024)
We derive a new system of integrable derivative non-linear Schrödinger equations with an L operator, quadratic in the spectral parameter with coefficients belonging to the Kac–Moody algebra A2(1). The construction of the fundamental analytic solut
Externí odkaz:
https://doaj.org/article/84c1d109bf9f4af6abf7c0a2395fff1a
Autor:
Wen-Xiu Ma
Publikováno v:
Axioms, Vol 13, Iss 7, p 481 (2024)
The paper aims to demonstrate that a linear expansion in a unital two-dimensional algebra can generate integrable couplings, proposing a novel approach for their construction. The integrable couplings presented encompass a range of perturbation equat
Externí odkaz:
https://doaj.org/article/e385875b7e954ebd83a994a4e5bd92af
Autor:
Eren Kemal
Publikováno v:
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 31, Iss 3, Pp 111-123 (2023)
In this paper, a special kind of curve pair associated with each other by the linear dependency between the principal normal vector of the first curve (called Mannheim curve) and the binormal vector of the second curve (called Mannheim partner curve)
Externí odkaz:
https://doaj.org/article/b22b11f0a8aa49faa2ca542682a6a295
Akademický článek
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Autor:
Georgy I. Burde
Publikováno v:
Axioms, Vol 13, Iss 2, p 121 (2024)
Multi-parameter families of Lax pairs for the modified Korteweg-de Vries (mKdV) equation are defined by applying a direct method developed in the present study. The gauge transformations, converting the defined Lax pairs to some simpler forms, are fo
Externí odkaz:
https://doaj.org/article/874f441dce3548a8bc0467e91e60da40
Autor:
Adler, Mark, van Moerbeke, Pierre
Publikováno v:
Journal of Physics A: mathematical and theoretical 51 (2018) 423001 (47pp)
This paper gives the most general form of the Adler-Kostant-Symes Theorem, and many applications of it, both finite and infinite dimensional, the former yielding algebraic completely integrable (a.c.i.) systems, and the latter examples in random matr
Externí odkaz:
http://arxiv.org/abs/1810.03168
Akademický článek
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