Results 71 to 80 of about 1,858,479 (279)
Higher dimensional Lax pairs of lower dimensional chaos and turbulence systems
, 2001 In this letter, a definition of the higher dimensional Lax pair for a lower dimensional system which may be a chaotic system is given. A special concrete (2+1)-dimensional Lax pair for a general (1+1)-dimensional three order autonomous partial ...
Ablowitz +9 more
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Scaling invariant Lax pairs of nonlinear evolution equations [PDF]
Applicable Analysis, 2012 To appear in special issue of Applicable Analysis dedicated to the memory of Alan ...
Hickman, Mark +3 more
openaire +3 more sources
Advances in Mathematical Physics, 2018 Based on the generalized dressing method, we propose a new integrable variable-coefficient 2+1-dimensional long wave-short wave equation and derive its Lax pair. Using separation of variables, we have derived the explicit solutions of the equation.
Ting Su, Hui Hui Dai
doaj +1 more source
Closed form solution for p-curves in SO(4) [PDF]
, 2012 This paper describes the solution for p-curves in SO(4) and gives its closed form. The rotational symmetry was exploited in order to simplify the algebra.
Biggs, James +2 more
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Lax Representation and Darboux Solutions of the Classical Painlevé Second Equation
Advances in Mathematical Physics, 2021 In this article, we present Darboux solutions of the classical Painlevé second equation. We reexpress the classical Painlevé second Lax pair in new setting introducing gauge transformations to yield its Darboux expression in additive form. The new linear
Irfan Mahmood, Muhammad Waseem
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Nonlocal Reductions of a Generalized Heisenberg Ferromagnet Equation
, 2019 We study nonlocal reductions of coupled equations in $1+1$ dimensions of the Heisenberg ferromagnet type. The equations under consideration are completely integrable and have a Lax pair related to a linear bundle in pole gauge. We describe the integrable
Myrzakulov, R. +3 more
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The Extended Estabrook-Wahlquist Method [PDF]
, 2014 Variable Coefficient Korteweg de Vries (vcKdV), Modified Korteweg de Vries (vcMKdV), and nonlinear Schrodinger (NLS) equations have a long history dating from their derivation in various applications.
Choudhury, Roy, Russo, Matthew
core
The Lax pair for C_2-type Ruijsenaars-Schneider model
, 2001 We study the C_2 Ruijsenaars-Schneider(RS) model with interaction potential of trigonometric type. The Lax pairs for the model with and without spectral parameter are constructed. Also given are the involutive Hamiltonians for the system.
Chen, Kai, Hou, Bo-yu, Yang, Wen-Li
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Similarity Solution of (2+1)-Dimensional Calogero-Bogoyavlenskii-Schiff Equation Lax Pair
American Journal of Applied Mathematics, 2019 In this paper, we discussed and studied the solutions of the (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff (CBS) equation. The Calogero-Bogoyavlenskii-Schiff equation describes the propagation of Riemann waves along the y-axis, with long wave ...
S. Salem +2 more
semanticscholar +1 more source
Construction of a Lax Pair for the E_6^{(1)} q-Painlevé System
Symmetry, Integrability and Geometry: Methods and Applications, 2012 We construct a Lax pair for the $ E^{(1)}_6 $ $q$-Painlevé system from first principles by employing the general theory ofsemi-classical orthogonal polynomial systems characterised by divided-difference operators on discrete, quadratic lattices [arXiv ...
Christopher M. Ormerod +1 more
doaj +1 more source