Results 91 to 100 of about 6,081 (189)
Discrete asymptotic nets and W-congruences in Plucker line geometry
, 2000 The asymptotic lattices and their transformations are studied within the line geometry approach. It is shown that the discrete asymptotic nets are represented by isotropic congruences in the Plucker quadric.
Adam Doliwa +25 more
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, 2002 This short review is an introduction to a great variety of methods, the collection of which is called the Painlev\'e analysis, intended at producing all kinds of exact (as opposed to perturbative) results on nonlinear equations, whether ordinary, partial,
Conte, Robert, Musette, Micheline
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Darboux Transformations of Bispectral Quantum Integrable Systems
Letters in Mathematical Physics, 1999 We present an approach to higher dimensional Darboux transformations suitable for application to quantum integrable systems and based on the bispectral property of partial differential operators. Specifically, working with the algebro-geometric definition of quantum integrability, we utilize the bispectral duality of quantum Hamiltonian systems to ...
Horozov, Emil, Kasman, Alex
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Non-integrability of the Armbruster-Guckenheimer-Kim quartic Hamiltonian through Morales-Ramis theory [PDF]
, 2017 We show the non-integrability of the three-parameter Armburster-Guckenheimer-Kim quartic Hamiltonian using Morales-Ramis theory, with the exception of the three already known integrable cases.
Acosta-Humánez, P. +2 more
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On integrable reductions of two-dimensional Toda-type lattices
Partial Differential Equations in Applied MathematicsThe 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.
I.T. Habibullin, A.U. Sakieva
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Relationships between Darboux Integrability and Limit Cycles for a Class of Able Equations [PDF]
Journal of Sciences, Islamic Republic of Iran, 2006 We consider the class of polynomial differential equation x&= , 2(,)(,)(,)nnmnmPxyPxyPxy++++2(,)(,)(,)nnmnmyQxyQxyQxy++&=++. For where and are homogeneous polynomials of degree i.
doaj
SYMMETRIES AND LAX INTEGRABILITY OF THE GENERALIZED PROUDMAN-JOHNSON EQUATION
Научный вестник МГТУ ГА, 2017 We study local symmetries of the generalized Proudman-Johnson equation. Symmetries of a partial differential equation may be used to find its invariant solutions.
O. I. Morozov
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Integral transformation and Darboux transformation
, 2009 We review Darboux-Crum transformation of Heun's differential equation. By rewriting an integral transformation of Heun's differential equation into a form of elliptic functions, we see that the integral representation is a generalization of Darboux-Crum transformation. We also consider conservation of monodromy with respect to the transformations.
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Soliton solution, breather solution and rational wave solution for a generalized nonlinear Schrödinger equation with Darboux transformation. [PDF]
Sci Rep, 2023 Fan C, Li L, Yu F.
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Darboux Approach to Mα-integration
Abstract Proceedings International Scholars Conference, 2019 It is known that one can develop Riemann integration theory via Darboux approach. Themain idea in the Darboux approach is to define an integral using upper and lower Riemannsums. In this study we look at how -integration can be develop via Darboux approach.Here is a brief discussion of the methodology.
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