Results 101 to 110 of about 582,779 (212)

II. — Discours de M. Darboux

, 1910
Darboux Gaston. II. — Discours de M. Darboux. In: Revue internationale de l'enseignement, tome 59, Janvier-Juin 1910. pp.
Darboux, Gaston
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Binary Darboux Transformations in Bidifferential Calculus and Integrable Reductions of Vacuum Einstein Equations

Symmetry, Integrability and Geometry: Methods and Applications, 2013
We present a general solution-generating result within the bidifferential calculus approach to integrable partial differential and difference equations, based on a binary Darboux-type transformation.
Aristophanes Dimakis, Folkert Müller-Hoissen   +1 more
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Darboux transformation and exact soliton solutions of the two-component (2+1)-dimensional Fokas–Lenells equation

Results in Physics
Nonlinear wave phenomena have attracted considerable attention since the discovery of solitons by Zabusky and Kruskal. These phenomena play an important role in various areas of science and are described by nonlinear partial differential equations. Among
Meruyert Zhassybayeva, Gaukhar Shaikhova, Kuralay Yesmakhanova, Zhaidary Myrzakulova   +3 more
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The Delsarte-Darboux type binary transformations, their differential-geometric and operator structure with applications. Part 1 [PDF]

Opuscula Mathematica, 2006
The structure properties of multidimensional Delsarte-Darboux transmutation operators in parametric functional spaces are studied by means of differential-geometric and topological tools.
Yarema A. Prykarpatsky, Anatoliy M. Samoilenko   +1 more
doaj  

Ultradiscrete sine-Gordon Equation over Symmetrized Max-Plus Algebra, and Noncommutative Discrete and Ultradiscrete sine-Gordon Equations

Symmetry, Integrability and Geometry: Methods and Applications, 2013
Ultradiscretization with negative values is a long-standing problem and several attempts have been made to solve it. Among others, we focus on the symmetrized max-plus algebra, with which we ultradiscretize the discrete sine-Gordon equation.
Kenichi Kondo
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DARBOUX TRANSFORMATIONS FOR TIME-DEPENDENT SCHRÖDINGER EQUATIONS WITH EFFECTIVE MASS

, 2012
The formalism of Darboux transformations is established for time-dependent Schrödinger equations with an effective (position-dependent) mass. Explicit formulas are obtained for the transformed wave function and the difference between the original and ...
SCHULZE-HALBERG, AXEL
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Fractional Darboux Transformations

, 2002
In this paper we utilize the covariance of Ricatti equation with respect to linear fractional transformations to define classes of conformally equivalent second order differential equations. This motivates then the introduction of fractional Darboux transformations which can be recognized also as generalized Cole-Hopf transformations.
openaire   +2 more sources

Old and New Reductions of Dispersionless Toda Hierarchy

Symmetry, Integrability and Geometry: Methods and Applications, 2012
This paper is focused on geometric aspects of two particular types of finite-variable reductions in the dispersionless Toda hierarchy. The reductions are formulated in terms of ''Landau-Ginzburg potentials'' that play the role of reduced Lax functions ...
Kanehisa Takasaki
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Lax-Darboux Schemes and Miura-type Transformations [PDF]

, 2016
This thesis is concerned with the study of integrable differential difference and partial difference equations. The thesis splits into two parts.
Berkeley, George
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DRESSING OF ZERO-RANGE POTENTIALS INTO REALISTIC MOLECULAR POTENTIALS OF FINITE RANGE

TASK Quarterly, 2010
The zero-range potentials of the radial Schrodinger equation and their dressing are investigated. A sequence of Darboux transformations involving a set of parameters yields solvable potentials of a finite-range with physically meaningful properties.
SERGEY B. LEBLE, DMITRY V. PONOMAREV
doaj