Results 51 to 60 of about 1,858,479 (279)

NONLINEAR EQUATION WITH THE THIRD ORDER SCATTERING OPERATOR

Наука. Инновации. Технологии, 2022
Introduction: most of the differential equations associated with soliton mathematics are obtained using the Lax operator equation or the zero-curvature equation, which are the compatibility condition for a pair of linear differential systems. The case in
Olga Sergeevna Yanovskaya, Olesya Borisovna Surneva   +1 more
doaj  

Toda theories as contraction of affine Toda theories

, 1996
Using a contraction procedure, we obtain Toda theories and their structures, from affine Toda theories and their corresponding structures. By structures, we mean the equation of motion, the classical Lax pair, the boundary term for half line theories ...
A. Aghamohammadi, A. Shariati, Arinshtein, Berman, Bogoyavlensky, Corrigan, Faddeev, Khastgir, M. Khorrami, Mackay, Mikhailov, Olive   +11 more
core   +1 more source

Trivially Related Lax Pairs Of The Sawada-Kotera Equation [PDF]

, 2015
We show that a recently introduced Lax pair of the Sawada-Kotera equation is not a new one but is trivially related to the known old Lax pair. Using the so-called trivial compositions of the old Lax pairs with a differentially constrained arbitrary ...
Talati, Daryoush
core  

1+1 spectral problems arising from the Manakov-Santini system

, 2010
This paper deals with the spectral problem of the Manakov Santini system. The point Lie symmetries of the Lax pair have been identified. Several similarity reductions arise from these symmetries. An important benefit of our procedure is that the study of
Bluman G W, Bogdanov L V, Chang J H Chen Y T, Estévez P G, Ibragimov N, J Prada, M L Gandarias, M S Bruzón, Olver P J, P G Estévez, Pavlov M V Chang J H Chen Y T, Stephani H   +11 more
core   +1 more source

Initial-boundary value problem for the spin-1 Gross-Pitaevskii system with a 4 × 4 Lax pair on a finite interval [PDF]

Journal of Mathematics and Physics, 2017
In this paper, we explore the initial-boundary value (IBV) problem for an integrable spin-1 Gross-Pitaevskii system with a 4 × 4 Lax pair on the finite interval x ∈ [0, L] by extending the Fokas unified approach.
Zhenya Yan
semanticscholar   +1 more source

Hamiltonian Monodromy via spectral Lax pairs

Journal of Mathematical Physics
Hamiltonian Monodromy is the simplest topological obstruction to the existence of global action-angle coordinates in a completely integrable system. We show that this property can be studied in a neighborhood of a focus-focus singularity by a spectral Lax pair approach.
Gutierrez Guillen, Gabriela, Sugny, Dominique, Mardešić, Pavao   +2 more
openaire   +4 more sources

Binary Nonlinearization of Lax Pairs

, 1996
8 pages, latex, to appear in the Proceedings of Nonlinear Physics ...
Ma, Wen-Xiu, Fuchssteiner, Benno
openaire   +2 more sources

Notes on “Soliton solutions by Darboux transformation and some reductions for a new Hamiltonian lattice hierarchy” [Phys. Scr. 82 (2010) 015008]

Results in Physics, 2016
We demonstrate that the Darboux transformation in the paper “Soliton solutions by Darboux transformation and some reductions for a new Hamiltonian lattice hierarchy” [Phys. Scr.
Xi-Xiang Xu
doaj   +1 more source

Integrability of Five Dimensional Minimal Supergravity and Charged Rotating Black Holes

, 2009
We explore the integrability of five-dimensional minimal supergravity in the presence of three commuting Killing vectors. We argue that to see the integrability structure of the theory one necessarily has to perform an Ehlers reduction to two dimensions.
Figueras, Pau, Jamsin, Ella, Rocha, Jorge V., Virmani, Amitabh   +3 more
core   +2 more sources

Symmetries for the Semi-Discrete Lattice Potential Korteweg–de Vries Equation

Mathematics
In this paper, we prove that the isospectral flows associated with both the x-part and the n-part of the Lax pair of the semi-discrete lattice potential Korteweg–de Vries equation are symmetries of the equation.
Junwei Cheng, Xiang Tian
doaj   +1 more source