Results 1 to 10 of about 506 (28)
Fine Structure of Matrix Darboux-Toda Integrable Mapping [PDF]
, 1998 We show here that matrix Darboux-Toda transformation can be written as a product of a number of mappings. Each of these mappings is a symmetry of the matrix nonlinear Shrodinger system of integro-differential equations. We thus introduce a completely new
Leznov, A. N., Yuzbashyan, E. A.
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Localized Induction Equation for Stretched Vortex Filament [PDF]
, 2006 We study numerically the motion of the stretched vortex filaments by using the localized induction equation with the stretch and that without the stretch.Comment: Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at ...
Kakuhata, Hiroshi, Konno, Kimiaki
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Andrew Lenard: A Mystery Unraveled [PDF]
, 2005 The theory of bi-Hamiltonian systems has its roots in what is commonly referred to as the "Lenard recursion formula". The story about the discovery of the formula told by Andrew Lenard is the subject of this article.Comment: Published in SIGMA (Symmetry,
Praught, Jeffery, Smirnov, Roman G.
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Multi-soliton Solutions of Two-dimensional Matrix Davey-Stewartson Equation [PDF]
, 1996 The explicit formulae for m-soliton solutions of (1+2)-dimensional matrix Davey-Stewartson equation are represented. They are found by means of known general solution of the matrix Toda chain with the fixed ends [1].
A.N. Leznov +15 more
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On the method of pseudopotential for Schrödinger equation with nonlocal boundary conditions
Abstract and Applied Analysis, Volume 6, Issue 6, Page 329-338, 2001., 2001 For stationary Schrödinger equation in ℝ n with the finite potential the singular pseudopotential is constructed in the form allowing us to find wave functions. The method does not require the knowledge of the explicit form of a potential and assumes only knowledge of the scattering amplitude for fixed level of energy.
Yuriy Valentinovich Zasorin
wiley +1 more source
Three‐dimensional Korteweg‐de Vries equation and traveling wave solutions
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 6, Page 379-384, 2000., 2000 The three‐dimensional power Korteweg‐de Vries equation [ut+unux+uxxx] x+uyy+uzz=0, is considered. Solitary wave solutions for any positive integer n and cnoidal wave solutions for n = 1 and n = 2 are obtained. The cnoidal wave solutions are shown to be represented as infinite sums of solitons by using Fourier series expansions and Poisson′s summation ...
Kenneth L. Jones
wiley +1 more source
Painleve analysis of a class of nonlinear diffusion equations
International Journal of Stochastic Analysis, Volume 9, Issue 1, Page 77-86, 1996., 1995 We study the Painleve analysis for a class of nonlinear diffusion equations. We find that in some cases it has only the conditional Painleve property and in other cases, just the Painleve property. We also obtained special solutions.
P. Chandrasekaran, E. K. Ramasami
wiley +1 more source
Solutions to the complex Korteweg-de Vries equation: Blow-up solutions and non-singular solutions [PDF]
, 2013 In the paper two kinds of solutions are derived for the complex Korteweg-de Vries equation, including blow-up solutions and non-singular solutions. We derive blow-up solutions from known 1-soliton solution and a double-pole solution.
Sun, Ying-ying +2 more
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Hirota derivatives and representation theory [PDF]
, 2001 It is shown that the Hirota derivative can be used to construct the plethysm for tensor products of representations of {sl}_2(k)
Athorne, C.
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Generalized KdV Equation for Fluid Dynamics and Quantum Algebras
, 1996 We generalize the non-linear one-dimensional equation of a fluid layer for any depth and length as an infinite order differential equation for the steady waves.
A. A. Mohammad +19 more
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