Results 181 to 190 of about 48,383 (208)
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Coupled Nonlinear Schrödinger Equations and the Miura Transformation
Chinese Physics Letters, 2011A wide class of coupled nonlinear Schrodinger (NLS) equations are derived by virtue of the dressing method, and the associated parametric solutions are discussed. As an illustration, the explicit solution of the coupled NLS-type equation associated with σ1 is given.
Yan Lou, Jun-Yi Zhu
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The discrete Painlev II equations: Miura and auto-B cklund transformations
Journal of Physics A: Mathematical and General, 2003This paper deals with the Miura transformations for all discrete Painlevé II equations known up to date. Based on these transformations the authors derive special solutions in terms of discrete Airy functions and construct auto-Bäcklund transformations for the discrete Painlevé equations.
Carstea, A. S. +3 more
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New Miura type transformations between integrable dispersive wave equations
Communications in Nonlinear Science and Numerical Simulation, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yin, Jiuli, Tian, Lixin, Wang, Lixia
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Equivalent classes of integrable nonlinear evolution equations and generalised Miura transformations
Journal of Physics A: Mathematical and General, 1987We write down the recursion operator which defines the class of integrable nonlinear evolution equations (NEE) associated with a spectral problem (SP) for matrices of rank 2 depending quadratically on the spectral parameter. Then we show the existence of four different transformations which transform the given SP into the well known one of Zakharov and
CHEN DY, LEVI, Decio, LI YS
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Miura-ori enabled stretchable circuit boards
Npj Flexible Electronics, 2021Yongkai Li, Weixuan Liu, Wei Hong
exaly
On Miura transformations and Volterra-type equations
2008We construct Miura transformations mapping the scalarspectral problems of the integrable lattice equations belonging tothe Adler-Bobenko-Suris (ABS) list into the discrete Schrodingerspectral problem associated with Volterra-type equations. We showthat the ABS equations correspond to Backlund transformations forsome particular cases of the discrete ...
PETRERA, Matteo +3 more
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Miura transformations and symmetry groups of differential equations
1993The main aim of this work is to develop a generalization of the Miura transformation based on symmetry groups of differential equations. Some applications of the resulting transformations are presented. The central idea is a construction, called an HC-projection, which will generalize the well known Hopf-Cole transformation.
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Miura folding based charge-excitation triboelectric nanogenerator for portable power supply
Nano Research, 2021Guanlin Liu, Wencong He, Zhao Wang
exaly

