Results 41 to 50 of about 131,499 (275)
Efficient algorithms for computing rational first integrals and Darboux polynomials of planar polynomial vector fields [PDF]
Mathematics of Computation, 2015 We present fast algorithms for computing rational first integrals with bounded degree of a planar polynomial vector field. Our approach is inspired by an idea of Ferragut and Giacomini. We improve upon their work by proving that rational first integrals can be computed via systems of linear equations instead of systems of quadratic equations.
Bostan, Alin +3 more
openaire +4 more sources
The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions
Abstract and Applied Analysis, 2013 The first integral method introduced by Feng is adopted for solving some important nonlinear partial differential equations, including the (2 + 1)-dimensional hyperbolic nonlinear Schrodinger (HNLS) equation, the generalized nonlinear Schrodinger (GNLS ...
Shoukry Ibrahim Atia El-Ganaini
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Abstract and Applied Analysis, 2013 The first integral method introduced by Feng is adopted for solving some important nonlinear systems of partial differential equations, including classical Drinfel'd-Sokolov-Wilson system (DSWE), (2 + 1)-dimensional Davey-Stewartson system, and ...
Shoukry Ibrahim Atia El-Ganaini
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Journal of Mathematics, 2020 The goal of this paper is to derive some new variants of Simpson’s inequality using the class of n-polynomial convex functions of higher order. To obtain the main results of the paper, we first derive a new generalized fractional integral identity ...
Yu-Ming Chu +3 more
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Журнал Средневолжского математического общества, 2021 A nonlinear system of differential equations describing the rotational motion of a rigid body under the action of torque of potential and circular-gyroscopic forces is considered.
Kosov Alexander A., Semenov Eduard I.
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Polynomial constants of motion for Calogero-type systems in three dimensions
, 2010 We give an explicit and concise formula for higher-degree polynomial first integrals of a family of Calogero-type Hamiltonian systems in dimension three. These first integrals, together with the already known ones, prove the maximal superintegrability of
Chanu, Claudia +2 more
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, 2001 We searched integrable 2D homogeneous polynomial potential with a polynomial first integral by using the so-called direct method of searching for first integrals.
Arnold V I +17 more
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Supermanifolds from Feynman graphs [PDF]
, 2008 We generalize the computation of Feynman integrals of log divergent graphs in terms of the Kirchhoff polynomial to the case of graphs with both fermionic and bosonic edges, to which we assign a set of ordinary and Grassmann variables.
Marcolli, Matilde, Rej, Abhijnan
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Superintegrable Extensions of Superintegrable Systems
Symmetry, Integrability and Geometry: Methods and Applications, 2012 A procedure to extend a superintegrable system into a new superintegrable one is systematically tested for the known systems on E^2 and S^2 and for a family of systems defined on constant curvature manifolds. The procedure results effective in many cases
Claudia M. Chanu +2 more
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Журнал Белорусского государственного университета: Математика, информатика, 2020 Two computational schemes for solving boundary value problems for a singular integro-differential equation, which describes the scattering of H-polarized electromagnetic waves by a screen with a curved boundary, are constructed.
Galina A. Rasolko, Sergei M. Sheshko
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